UP Board Class 10 Science Question Paper 2023 PDF (Code 824 EK) is available for download here. The Science exam was conducted on February 27, 2023 in the Morning Shift from 8:00 AM to 11:15 AM. The total marks for the theory paper are 100. Students reported the paper to be easy to moderate.

UP Board Class 10 Science Question Paper 2023 (Code 824 EK) with Solutions

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UP Board Class 10 Science Question Paper with Solutions


Question 1:

To have a real and enlarged image of an object by a concave mirror, the position of the object should be:

  • (A) At the centre of curvature (C)
  • (B) In between centre of curvature (C) and the focal point (F)
  • (C) At the pole (P) of the mirror
  • (D) In between pole (P) and the focal point (F) of the mirror
Correct Answer: (B) In between centre of curvature (C) and the focal point (F)
View Solution




Step 1: Position of the object for real and enlarged image.

To form a real and enlarged image using a concave mirror, the object should be placed between the centre of curvature (C) and the focal point (F).

When the object is between \( C \) and \( F \), the image formed is real, inverted, and enlarged.

Step 2: Conclusion.

Thus, the correct position of the object is in between the centre of curvature (C) and the focal point (F). Therefore, the correct answer is (B).
Quick Tip: When the object is placed between the centre of curvature and the focal point of a concave mirror, a real and enlarged image is formed.


Question 2:

The unit of the power of the lens is:

  • (A) metre
  • (B) per metre
  • (C) metre per second
  • (D) none of these
Correct Answer: (B) per metre
View Solution




The power of a lens is defined as the reciprocal of its focal length: \[ P = \frac{1}{f} \]
where \( P \) is the power of the lens, and \( f \) is the focal length of the lens.

Step 1: Units of focal length.

The unit of focal length \( f \) is meter (m).

Step 2: Units of power.

Since power \( P \) is the reciprocal of focal length, its unit will be the reciprocal of the unit of focal length: \[ Unit of P = \frac{1}{Unit of f} = \frac{1}{meter} = per meter \]

Step 3: Conclusion.

Thus, the unit of the power of the lens is per meter. The correct answer is (B).
Quick Tip: The power of a lens is measured in diopters, which is equivalent to per meter.


Question 3:

When a beam of white light falls on the surface of a triangular prism of glass, it splits, after emerging out from the prism, into various colours with different deviations. Which colour has maximum deviation?

  • (A) Red
  • (B) Yellow
  • (C) Green
  • (D) Violet
Correct Answer: (D) Violet
View Solution




Step 1: Understand the dispersion of light.

When white light passes through a prism, it undergoes dispersion, separating into its constituent colours. These colours have different wavelengths and therefore different refractive indices in the material of the prism.

Step 2: Relationship between wavelength and deviation.

The amount of deviation of light depends on its wavelength. Light with shorter wavelengths (like violet) deviates more than light with longer wavelengths (like red).

Step 3: Conclusion.

Therefore, the colour with the maximum deviation is violet. The correct answer is (D).
Quick Tip: In a prism, violet light deviates the most due to its shorter wavelength, while red light, with its longer wavelength, deviates the least.


Question 4:

The sun appears whitish:

  • (A) much before sunrise
  • (B) at the sunrise and sunset
  • (C) at noon
  • (D) much after sunset
Correct Answer: (B) at the sunrise and sunset
View Solution




The color of the sun changes depending on the atmospheric conditions and the time of the day.

Step 1: White appearance of the sun.

The sun appears white during sunrise and sunset because of the scattering of light. When the sun is near the horizon, its light passes through a larger thickness of the Earth's atmosphere. Shorter wavelengths like blue and violet are scattered out, and the longer wavelengths like red and yellow dominate. However, the remaining sunlight that reaches the observer still includes all wavelengths of visible light, which mix together to appear white.

Step 2: At noon.

At noon, when the sun is directly overhead, its light path through the atmosphere is shorter, and it appears yellowish due to the scattering of shorter wavelengths.

Step 3: Conclusion.

Thus, the sun appears whitish at sunrise and sunset, which is the correct answer (B).
Quick Tip: The sun appears reddish or yellowish when it is low on the horizon due to longer light paths and scattering, but at noon, when it's higher, it appears whiter due to a shorter light path.


Question 5:

On which of the following does the resistance of an electrical conductor not depend?

  • (A) Length of the conductor
  • (B) Density of the material of conductor
  • (C) The cross-section of the conductor
  • (D) The shape of the conductor
Correct Answer: (D) The shape of the conductor
View Solution




Step 1: Formula for resistance.

The resistance \( R \) of a conductor is given by the formula:
\[ R = \rho \frac{L}{A} \]

Where:
- \( R \) is the resistance,
- \( \rho \) is the resistivity of the material,
- \( L \) is the length of the conductor,
- \( A \) is the cross-sectional area of the conductor.

Step 2: Analyzing the options.

- The resistance depends on the length of the conductor, as seen in the formula.
- The resistance depends on the resistivity of the material, which is related to the density of the material.
- The resistance depends on the cross-sectional area of the conductor.
- The shape of the conductor does not affect the resistance, as long as the length and cross-sectional area remain the same.

Step 3: Conclusion.

Thus, the resistance of an electrical conductor does not depend on the shape of the conductor. Therefore, the correct answer is (D).
Quick Tip: The resistance of a conductor depends on its length, cross-sectional area, and the material's resistivity, but not on its shape.


Question 6:

In which combination the four resistors be connected to have minimum resultant resistance?

  • (A) All of the resistors in parallel combination
  • (B) All of the resistors in series combination
  • (C) One in series with the parallel combination of other three
  • (D) Two resistors in series with the parallel combination of other two
Correct Answer: (A) All of the resistors in parallel combination
View Solution




To minimize the resultant resistance in a circuit, we need to use the property of resistances in parallel.

Step 1: Understanding the relationship for parallel resistors.

For resistors in parallel, the total (or equivalent) resistance \( R_{eq} \) is given by: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
This means that when resistors are connected in parallel, their resultant resistance is always less than the smallest resistance in the combination. The more resistors you connect in parallel, the smaller the resultant resistance becomes.

Step 2: Comparing with other combinations.

- If all resistors are in series, the total resistance is the sum of the individual resistances, which results in a higher resistance compared to parallel connection.
- Combining some resistors in series and others in parallel will not yield the smallest resistance, as the series combination adds additional resistance.

Step 3: Conclusion.

Thus, to minimize the resultant resistance, all four resistors should be connected in parallel. The correct answer is (A).
Quick Tip: For minimizing resistance, use parallel combinations of resistors.


Question 7:

One needs the help of which of the following rules to know the direction of the magnetic field produced due to a current carrying conductor?

  • (A) Fleming's right hand rule
  • (B) Fleming's left hand rule
  • (C) Right hand thumb rule
  • (D) Ohm's law
Correct Answer: (C) Right hand thumb rule
View Solution




Step 1: Understanding the concept.

To determine the direction of the magnetic field produced by a current carrying conductor, we use the Right Hand Thumb Rule.

Step 2: Right Hand Thumb Rule.

According to the Right Hand Thumb Rule, if you hold the conductor with your right hand such that the thumb points in the direction of the current, then the curl of your fingers will show the direction of the magnetic field around the conductor.

Step 3: Conclusion.

Thus, the correct answer is (C) Right hand thumb rule.
Quick Tip: To find the direction of the magnetic field around a current carrying conductor, use the Right Hand Thumb Rule.


Question 8:

Which of the following metals produces hydrogen gas with cold water?

  • (A) Copper
  • (B) Gold
  • (C) Potassium
  • (D) Aluminium
Correct Answer: (C) Potassium
View Solution




When a metal reacts with cold water, hydrogen gas is produced. The ability of a metal to produce hydrogen gas with cold water depends on its reactivity.

Step 1: Behavior of the given metals.

- Copper (Cu) does not react with cold water. It is relatively unreactive with water.
- Gold (Au) is one of the least reactive metals and does not react with cold water to produce hydrogen gas.
- Potassium (K) is an alkali metal and reacts vigorously with cold water to produce hydrogen gas.
- Aluminium (Al) reacts with cold water, but in the presence of air, it forms a protective oxide layer that prevents further reaction unless the oxide layer is removed.

Step 2: Conclusion.

Among the given metals, Potassium reacts with cold water to produce hydrogen gas. The correct answer is (C).
Quick Tip: Alkali metals, such as potassium, react vigorously with cold water to produce hydrogen gas.


Question 9:

The alkene in the following is:

  • (A) HC = CH
  • (B) H\(_2\)C = CH\(_2\)
  • (C) CH\(_3\) - CH\(_2\) - CH\(_3\)
  • (D) CH\(_3\) - C = CH
Correct Answer: (B) H\(_2\)C = CH\(_2\)
View Solution




Step 1: Understand the structure of alkenes.

Alkenes are hydrocarbons that contain at least one double bond between two carbon atoms (C = C). This double bond is characteristic of alkenes, making them unsaturated.

Step 2: Analyze the options.

- (A) HC = CH: This is an alkene, but it is an incorrect structure because the formula is incomplete.
- (B) H\(_2\)C = CH\(_2\): This is the correct structure of ethene (C\(_2\)H\(_4\)), an alkene with a double bond between two carbon atoms.
- (C) CH\(_3\) - CH\(_2\) - CH\(_3\): This is an alkane, not an alkene, as it only contains single bonds.
- (D) CH\(_3\) - C = CH: This is an alkene, but it does not represent the simplest alkene form.

Step 3: Conclusion.

Thus, the correct answer is (B) H\(_2\)C = CH\(_2\).
Quick Tip: Alkenes contain at least one C = C double bond. The simplest alkene is ethene (C\(_2\)H\(_4\)).


Question 10:

Which of the following metals produces hydrogen gas with cold water?

  • (A) Copper
  • (B) Gold
  • (C) Potassium
  • (D) Aluminium
Correct Answer: (C) Potassium
View Solution




When a metal reacts with cold water, hydrogen gas is produced. The ability of a metal to produce hydrogen gas with cold water depends on its reactivity.

Step 1: Behavior of the given metals.

- Copper (Cu) does not react with cold water. It is relatively unreactive with water.

- Gold (Au) is one of the least reactive metals and does not react with cold water to produce hydrogen gas.

- Potassium (K) is an alkali metal and reacts vigorously with cold water to produce hydrogen gas.

- Aluminium (Al) reacts with cold water, but in the presence of air, it forms a protective oxide layer that prevents further reaction unless the oxide layer is removed.

Step 2: Conclusion.

Among the given metals, Potassium reacts with cold water to produce hydrogen gas. The correct answer is (C).
Quick Tip: Alkali metals, such as potassium, react vigorously with cold water to produce hydrogen gas.


Question 11:

The alkene in the following is:

  • (A) HC = CH
  • (B) H\(_2\)C = CH\(_2\)
  • (C) CH\(_3\) - CH\(_2\) - CH\(_3\)
  • (D) CH\(_3\) - C = CH
Correct Answer: (B) H\(_2\)C = CH\(_2\)
View Solution




Step 1: Understand the structure of alkenes.

Alkenes are hydrocarbons that contain at least one double bond between two carbon atoms (C = C). This double bond is characteristic of alkenes, making them unsaturated.

Step 2: Analyze the options.

- (A) HC = CH: This is an alkene, but it is an incorrect structure because the formula is incomplete.
- (B) H\(_2\)C = CH\(_2\): This is the correct structure of ethene (C\(_2\)H\(_4\)), an alkene with a double bond between two carbon atoms.
- (C) CH\(_3\) - CH\(_2\) - CH\(_3\): This is an alkane, not an alkene, as it only contains single bonds.
- (D) CH\(_3\) - C = CH: This is an alkene, but it does not represent the simplest alkene form.

Step 3: Conclusion.

Thus, the correct answer is (B) H\(_2\)C = CH\(_2\).
Quick Tip: Alkenes contain at least one C = C double bond. The simplest alkene is ethene (C\(_2\)H\(_4\)).


Question 12:

A solution turns red litmus into blue. The possible pH value of this solution is:

  • (A) 1
  • (B) 3
  • (C) 6
  • (D) 8
Correct Answer: (D) 8
View Solution




The color change of litmus paper is used to determine whether a solution is acidic or basic.

Step 1: Behavior of litmus paper.

- Red litmus paper turns blue when the solution is basic (alkaline).
- Blue litmus paper turns red when the solution is acidic.

Step 2: pH and its relation to acidity and basicity.

- A pH less than 7 indicates an acidic solution.
- A pH of 7 indicates a neutral solution (like pure water).
- A pH greater than 7 indicates a basic (alkaline) solution.

Since the solution turns red litmus paper blue, it indicates the solution is basic. The pH of a basic solution typically ranges from 8 to 14.

Step 3: Conclusion.

Thus, the pH value of the solution is most likely 8, which is a mild alkaline solution. The correct answer is (D).
Quick Tip: A solution that turns red litmus paper blue has a pH greater than 7, indicating that the solution is basic (alkaline).


Question 13:

The bond present in chlorine molecules is:

  • (A) Ionic bond
  • (B) One covalent bond
  • (C) Double covalent bond
  • (D) Triple covalent bond
Correct Answer: (B) One covalent bond
View Solution




Step 1: Understand the structure of chlorine molecule.

Chlorine (Cl\(_2\)) is a diatomic molecule, and the bond between two chlorine atoms is a covalent bond. In this bond, each chlorine atom shares one electron with the other chlorine atom to achieve a stable electron configuration.

Step 2: Identify the type of bond.

In chlorine molecules, two chlorine atoms share a single pair of electrons, forming a single covalent bond.

Step 3: Conclusion.

Thus, the bond present in chlorine molecules is a single covalent bond. Therefore, the correct answer is (B).
Quick Tip: A single covalent bond is formed when two atoms share one pair of electrons. Chlorine molecules form a single covalent bond between the two chlorine atoms.


Question 14:

Useful substance in making water bacteria free is:

  • (A) Washing soda
  • (B) Baking soda
  • (C) Alum
  • (D) Bleaching powder
Correct Answer: (D) Bleaching powder
View Solution




To make water bacteria-free and disinfect it, certain chemicals are used. Among the given options:

Step 1: Washing Soda

Washing soda (sodium carbonate) is commonly used for cleaning and washing purposes, but it does not have the properties required to purify water from bacteria.

Step 2: Baking Soda

Baking soda (sodium bicarbonate) is primarily used in cooking, cleaning, and deodorizing, but it does not disinfect water or remove bacteria.

Step 3: Alum

Alum (potassium aluminum sulfate) is used in water purification to help in the coagulation process, where it helps remove suspended particles. However, it is not directly used for killing bacteria.

Step 4: Bleaching Powder

Bleaching powder (calcium hypochlorite) is a powerful disinfectant commonly used to purify water and make it bacteria-free. It works by releasing chlorine, which kills harmful bacteria and other microorganisms in water.

Step 5: Conclusion.

Thus, the most effective substance for making water bacteria-free among the options is Bleaching powder. The correct answer is (D).
Quick Tip: Bleaching powder is widely used for water purification because of its ability to release chlorine, which disinfects water and kills bacteria.


Question 15:

The reactions in which new compounds are formed by exchange of ions, are called:

  • (A) Substitution reactions
  • (B) Double decomposition
  • (C) Addition reactions
  • (D) Dissociation
Correct Answer: (B) Double decomposition
View Solution




Step 1: Understand double decomposition reactions.

In a double decomposition reaction, two compounds react by exchanging their ions to form new compounds. This reaction typically occurs in aqueous solutions. An example is when two salts in solution react to form a precipitate and a new ionic compound.

Step 2: Identify the other types of reactions.

- Substitution reactions: A chemical reaction where one atom or a group of atoms is replaced by another atom or group of atoms.
- Addition reactions: Involves two or more reactants combining to form a single product.
- Dissociation: Refers to the process where a compound breaks up into its ions in solution.

Step 3: Conclusion.

Thus, the correct type of reaction where new compounds are formed by the exchange of ions is double decomposition. Therefore, the correct answer is (B).
Quick Tip: In double decomposition reactions, the ions of two compounds are exchanged, often leading to the formation of a precipitate.


Question 16:

The function of xylem in plants is:

  • (A) conduction of water
  • (B) translocation of food
  • (C) translocation of amino acid
  • (D) translocation of oxygen
Correct Answer: (A) conduction of water
View Solution




Xylem is one of the two types of vascular tissues in plants, the other being phloem. Each type of tissue serves different functions related to the transport of substances in plants.

Step 1: Role of Xylem.

The primary function of xylem is the conduction of water and minerals from the roots to the other parts of the plant, such as leaves and stems. This is achieved through a combination of capillary action, root pressure, and transpiration.

Step 2: Understanding the other options.

- (B) Translocation of food: This is the function of phloem, not xylem. Phloem is responsible for transporting the products of photosynthesis (food) from the leaves to other parts of the plant.
- (C) Translocation of amino acid: Amino acids are primarily transported by phloem, not xylem.
- (D) Translocation of oxygen: Oxygen is mainly involved in respiration within plant cells, but it is not specifically transported by xylem.

Step 3: Conclusion.

Thus, the function of xylem in plants is the conduction of water. The correct answer is (A).
Quick Tip: Xylem is primarily responsible for the transport of water and minerals in plants, while phloem is responsible for the transport of food (organic compounds).


Question 17:

In which of the following plants did Mendel perform his experiments on inheritance?

  • (A) Tomato
  • (B) Brinjal
  • (C) Pea
  • (D) Mustard
Correct Answer: (C) Pea
View Solution




Step 1: Understand Mendel's experiments.

Gregor Mendel is considered the father of genetics, and he is known for his foundational work on inheritance patterns. Mendel conducted his famous experiments on the inheritance of traits in pea plants (Pisum sativum).

Step 2: Conclusion.

Mendel's experiments were primarily performed on pea plants, as they have distinct and easily observable traits, making them ideal for genetic studies. Therefore, the correct answer is (C).
Quick Tip: Mendel chose pea plants for his experiments because they have a variety of distinguishable traits and reproduce quickly.


Question 18:

Which is not a part of the female genital system in humans from the following?

  • (A) Ovary
  • (B) Uterus
  • (C) Vas deferens
  • (D) Fallopian tube
Correct Answer: (C) Vas deferens
View Solution




The female reproductive system in humans consists of several organs, each having specific functions related to reproduction.

Step 1: Function and role of the organs.

- Ovary: The ovaries are a part of the female reproductive system, and they are responsible for producing eggs (ova) and secreting hormones like estrogen and progesterone.
- Uterus: The uterus is where the fertilized egg implants and grows into a fetus during pregnancy.
- Fallopian tube: The fallopian tubes transport the egg from the ovaries to the uterus and are also where fertilization occurs.

Step 2: Vas deferens.

- The vas deferens is not a part of the female genital system; it is part of the male reproductive system. It carries sperm from the epididymis to the urethra.

Step 3: Conclusion.

Thus, the vas deferens is the only option that is not part of the female genital system. The correct answer is (C).
Quick Tip: The vas deferens is a part of the male reproductive system, responsible for transporting sperm.


Question 19:

The autotrophic mode of nutrition requires:

  • (A) Carbon dioxide & water
  • (B) Chlorophyll
  • (C) Sunlight
  • (D) All of these
Correct Answer: (D) All of these
View Solution




Step 1: Understand the autotrophic mode of nutrition.

In the autotrophic mode of nutrition, organisms like plants synthesize their food using inorganic substances. The primary components required for this process are:
- Carbon dioxide and water from the environment,
- Sunlight, which provides the energy for the process of photosynthesis,
- Chlorophyll, which is a pigment present in plant cells that absorbs light and helps in the process of photosynthesis.

Step 2: Conclusion.

Thus, the correct answer is (D), as all of the components — carbon dioxide, water, sunlight, and chlorophyll — are necessary for the autotrophic mode of nutrition.
Quick Tip: Autotrophic organisms, like plants, require carbon dioxide, water, sunlight, and chlorophyll to perform photosynthesis and produce their own food.


Question 20:

The examples of homologous organs are:

  • (A) Our hands and forearms of the dogs
  • (B) Our teeth and teeth of elephant
  • (C) Runner of potato and grass
  • (D) All of these
Correct Answer: (D) All of these
View Solution




Homologous organs are those organs that have a similar structure but may have different functions in different species. These organs are derived from a common evolutionary ancestor and share the same basic structural pattern.

Step 1: Examples of homologous organs.

- Our hands and forearms of dogs: The forelimbs of humans (hands) and dogs (forearms) have the same basic bone structure (humerus, radius, ulna) but perform different functions, such as grasping for humans and running for dogs. This makes them homologous.
- Our teeth and teeth of elephants: The teeth of humans and elephants have a similar structure but serve different functions. Human teeth are used for cutting and grinding food, while elephant tusks (modified incisors) serve in defense and foraging.
- Runner of potato and grass: The underground stems of potato (tubers) and grass (runners) are homologous as they have similar structures and developmental origins, though they perform different functions (storage in potatoes and vegetative reproduction in grass).

Step 2: Conclusion.

Since all the given options are examples of homologous organs, the correct answer is (D).
Quick Tip: Homologous organs have a common evolutionary origin but may serve different functions in different species.


Question 21:

Asexual reproduction takes place through budding in:

  • (A) Amoeba
  • (B) Yeast
  • (C) Plasmodium
  • (D) Leishmania
Correct Answer: (B) Yeast
View Solution




Budding is a form of asexual reproduction in which a new organism develops from an outgrowth or bud on the parent organism.

Step 1: Yeast.

Yeast reproduces asexually by budding. A small outgrowth, or bud, forms on the parent cell, which eventually detaches to become a new organism. This is a common method of asexual reproduction in yeast.

Step 2: Amoeba.

Amoeba reproduces asexually by binary fission, not by budding. In binary fission, the organism divides into two equal parts, each becoming a new organism.

Step 3: Plasmodium.

Plasmodium, the causative agent of malaria, reproduces both sexually and asexually, but not through budding. It undergoes asexual reproduction through schizogony (multiple fission) within the host.

Step 4: Leishmania.

Leishmania also reproduces through binary fission and not through budding.

Step 5: Conclusion.

Thus, the organism that reproduces through budding is Yeast. The correct answer is (B).
Quick Tip: Budding is a common form of asexual reproduction observed in organisms like yeast and hydra.


Question 22:

Who proposed the Natural Selection Theory?

  • (A) Lamarck
  • (B) Darwin
  • (C) Mendel
  • (D) Morgan
Correct Answer: (B) Darwin
View Solution




The theory of natural selection, also known as Darwinian selection, was proposed by Charles Darwin in the 19th century. This theory explains how species evolve over time through the differential survival and reproduction of individuals with advantageous traits.

Step 1: Overview of the theory of natural selection.

The basic premise of Darwin's theory is that organisms with traits that are better suited to their environment are more likely to survive and reproduce, passing on these advantageous traits to their offspring. Over time, this process leads to the gradual evolution of species.

Step 2: Other scientists.

- Lamarck proposed the theory of inheritance of acquired characteristics, which was an early idea of evolution but not natural selection.
- Mendel is known for his work on heredity and the laws of inheritance, which laid the foundation for genetics.
- Morgan is famous for his research on genetics in fruit flies, which helped understand genetic inheritance but did not propose the theory of natural selection.

Step 3: Conclusion.

Thus, the correct answer is (B) Darwin.
Quick Tip: Charles Darwin proposed the theory of natural selection, which became a key principle in evolutionary biology.


Question 23:

A convex mirror of radius of curvature 2 metres is attached to a motor bike to watch any other vehicle coming from behind. Calculate the location and position of a vehicle which is at 4 metres behind the bike as seen in the mirror. Also explain by the ray diagram.

Correct Answer:
View Solution




We are given that the radius of curvature of the convex mirror is \( R = 2 \, m \). The focal length \( f \) of a mirror is related to the radius of curvature by the formula: \[ f = \frac{R}{2}. \]
Substituting the given value of \( R \): \[ f = \frac{2}{2} = 1 \, m. \]

The object distance \( u \) is given as 4 m (the distance of the vehicle behind the bike), so \( u = -4 \, m \) (we take it as negative for convex mirrors).

We use the mirror formula to calculate the image distance \( v \): \[ \frac{1}{f} = \frac{1}{v} + \frac{1}{u}. \]
Substitute the known values of \( f \) and \( u \): \[ \frac{1}{1} = \frac{1}{v} + \frac{1}{-4}. \]
Simplifying: \[ 1 = \frac{1}{v} - \frac{1}{4}. \]
Solving for \( \frac{1}{v} \): \[ \frac{1}{v} = 1 + \frac{1}{4} = \frac{5}{4}. \]
Thus, \[ v = \frac{4}{5} = 0.8 \, m. \]

So, the image is formed at a distance of 0.8 m behind the mirror, meaning the vehicle appears to be 0.8 metres behind the mirror as seen in the mirror.


Conclusion:

The image of the vehicle is formed at a distance of 0.8 m behind the convex mirror, and the vehicle appears to be at a location of 0.8 m behind the mirror. Quick Tip: For convex mirrors, the image formed is always virtual, erect, and diminished. The image is formed behind the mirror at a distance smaller than the object distance.


Question 24:

A person suffering from short-sightedness can see up to 100 meters. Calculate the nature and the focal length of the lens in order to correct this defect so that he can see objects at infinity hence correct vision. Also, draw the ray diagram.

Correct Answer:
View Solution




A person suffering from short-sightedness (myopia) can see objects clearly only up to a certain distance, which in this case is 100 meters. In order to correct this defect, a diverging lens (concave lens) is used.


For short-sightedness, the image of a distant object is formed in front of the retina, so a diverging lens is required to diverge the light rays before they reach the eye, so that the image is formed on the retina.


Step 1: Determine the focal length of the lens.


In the case of myopia, the near point of the person is 100 meters, and the person wants to be able to see distant objects at infinity.


The lens formula is: \[ \frac{1}{f} = \frac{1}{v} - \frac{1}{u}, \]
where:
- \( f \) is the focal length of the lens,
- \( v \) is the image distance (infinity for distant objects),
- \( u \) is the object distance (100 meters).


For distant objects, \( v = \infty \), and the formula becomes: \[ \frac{1}{f} = \frac{1}{\infty} - \frac{1}{u} = 0 - \frac{1}{100}. \]
Thus, \[ f = -100 \, meters. \]

The negative sign indicates that the lens is a diverging lens.


Step 2: Nature of the lens.


The focal length is negative, indicating that the lens is a concave lens, which is used to correct short-sightedness.


Step 3: Ray Diagram.


In the ray diagram for a concave lens:
- The object is placed at a distance greater than the focal length.
- The diverging rays from the object are converged by the concave lens to form a virtual image at the near point (100 meters), allowing the person to see the object clearly.
Quick Tip: To correct short-sightedness, a concave lens with a negative focal length is used. The focal length can be calculated using the lens formula.


Question 25:

What is Ohm's law? Explain by drawing the associated circuit diagram. Also discuss the terms on which the resistance of an electrical conductor depends.

Correct Answer:
View Solution




Ohm's Law:

Ohm's law states that the current \( I \) flowing through a conductor is directly proportional to the voltage \( V \) across it and inversely proportional to the resistance \( R \) of the conductor. Mathematically, it is expressed as: \[ V = I R \]
Where:

- \( V \) is the potential difference (voltage) across the conductor (in volts),

- \( I \) is the current flowing through the conductor (in amperes),

- \( R \) is the resistance of the conductor (in ohms).



Terms on which the resistance of an electrical conductor depends:


The resistance \( R \) of a conductor depends on the following factors:
1. Material of the conductor:

Different materials have different resistances. For example, copper and aluminum have low resistance, while rubber and glass have high resistance.

2. Length of the conductor:

The resistance of a conductor is directly proportional to its length. The longer the conductor, the higher the resistance.
\[ R \propto l \]
Where \( l \) is the length of the conductor.

3. Cross-sectional area of the conductor:

The resistance of a conductor is inversely proportional to its cross-sectional area. A larger cross-sectional area leads to lower resistance.
\[ R \propto \frac{1}{A} \]
Where \( A \) is the cross-sectional area of the conductor.

4. Temperature:

The resistance of most conductors increases with temperature. As the temperature rises, the atoms in the conductor vibrate more, causing more collisions with electrons, thus increasing the resistance.


Conclusion:

Ohm's law relates voltage, current, and resistance in a conductor. The resistance of a conductor depends on its material, length, cross-sectional area, and temperature. Quick Tip: Ohm’s law is a fundamental relationship in electrical circuits and is useful for calculating voltage, current, or resistance when two of the three variables are known.


Question 26:

What is the working principle of an electrical motor? Describe clearly its construction and working method with the help of a diagram.

Correct Answer:
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Working Principle of an Electrical Motor:

An electric motor works on the principle of electromagnetic induction. According to this principle, when a current-carrying conductor is placed in a magnetic field, it experiences a force. This force acts on the conductor and causes it to move. The direction of the force is given by the Fleming’s Left-hand Rule, which states that if the forefinger, middle finger, and thumb of the left hand are held perpendicular to each other, the forefinger represents the direction of the magnetic field, the middle finger represents the direction of current, and the thumb represents the direction of motion (force).


Construction of an Electrical Motor:

1. Armature (Rotor): The armature is the rotating part of the motor, usually a coil of wire wound on a laminated iron core.
2. Stator: The stator is the stationary part of the motor that contains the magnets (either permanent magnets or electromagnets) to produce the magnetic field.
3. Commutator: The commutator is a split ring that reverses the direction of current flow in the armature windings to maintain continuous rotation.
4. Brushes: Brushes are carbon or graphite pieces that maintain electrical contact between the rotating armature and the stationary commutator.
5. Power Supply: The motor is connected to an external power supply to provide current to the armature.

Working Method of an Electrical Motor:

1. When current flows through the armature coil, it creates a magnetic field around it.
2. The magnetic field of the armature interacts with the magnetic field of the stator, producing a force that causes the armature to rotate.
3. The direction of the current in the armature is reversed by the commutator at each half-turn to ensure continuous rotation.


Conclusion:

Thus, an electrical motor converts electrical energy into mechanical energy based on the principle of electromagnetic induction. Quick Tip: To maintain continuous motion, the commutator in an electric motor reverses the direction of current flow in the armature at regular intervals.


Question 27:

What is the working principle of an alternating current generator? Describe its construction and working method with the help of a diagram.

Correct Answer:
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Working Principle of an AC Generator:

An alternating current (AC) generator works on the principle of electromagnetic induction. According to Faraday's Law of Induction, when a conductor moves through a magnetic field, an electromotive force (EMF) is induced in the conductor. This induced EMF causes current to flow. The direction of the induced current changes when the direction of motion of the conductor or the magnetic field is reversed, producing alternating current.


Construction of an AC Generator:

1. Armature: The armature is the rotating coil of wire, which cuts the magnetic field lines to induce an EMF.
2. Magnetic Field: A strong magnetic field is provided by either permanent magnets or electromagnets.
3. Slip Rings: Slip rings are used to provide a continuous connection between the rotating armature and the external circuit.
4. Brushes: Carbon brushes maintain contact with the slip rings and transfer the current from the rotating armature to the external circuit.
5. Axis: The armature is mounted on a shaft, which rotates to cut through the magnetic field.

Working Method of an AC Generator:

1. As the armature rotates, it cuts the magnetic field lines, and an EMF is induced in the coil according to Faraday’s Law.
2. The induced EMF causes alternating current to flow through the external circuit.
3. The current alternates its direction as the armature continues to rotate, producing an alternating current (AC).


Conclusion:

Thus, an AC generator converts mechanical energy into electrical energy by using the principle of electromagnetic induction. Quick Tip: The AC generator produces alternating current by rotating a coil within a magnetic field, reversing the direction of the induced current periodically.


Question 28:

Write the structural formulae of the following compounds:

Correct Answer:
View Solution

N/A Quick Tip: When writing structural formulae, ensure that each bond and functional group (like \(-OH\), \(-COOH\), etc.) is properly represented according to the molecule’s functional class.


Question 29:

Na, Mg, and Al are the elements in which the numbers of valence electrons are one, two, and three respectively.
(a) Which of these elements has the maximum atomic radius?
(b) Which of these elements is the least reactive? Answer each with the reason.

Correct Answer:
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(a) Which of these elements has the maximum atomic radius?

- Atomic radius refers to the size of an atom, typically the distance from the nucleus to the outermost electron shell. The atomic radius generally increases as we move down a group in the periodic table, as new electron shells are added. However, the atomic radius decreases across a period as the effective nuclear charge increases, pulling the electrons closer to the nucleus.

- Na (Sodium), Mg (Magnesium), and Al (Aluminum) are all in the same period (Period 3) of the periodic table. Since the atomic radius decreases as we move from left to right across a period, and Na is the farthest left in the period, it has the largest atomic radius.
\[ Na > Mg > Al \]

Thus, Na has the maximum atomic radius.


(b) Which of these elements is the least reactive?

- Reactivity in metals generally decreases as we move across a period from left to right because the atomic size decreases and the ionization energy increases. Elements with fewer valence electrons tend to be more reactive as they lose electrons more easily.

- Na has one valence electron, making it highly reactive as it easily loses this electron to form Na\(^+\). Mg has two valence electrons, making it less reactive than Na, but still quite reactive. Al has three valence electrons and is less reactive than both Na and Mg because it holds on to its electrons more tightly.

Thus, Al is the least reactive of the three elements.


Conclusion:

(a) Na has the maximum atomic radius.
(b) Al is the least reactive element. Quick Tip: In general, across a period from left to right, atomic size decreases and ionization energy increases, making elements on the left more reactive and elements on the right less reactive.


Question 30:

Write notes on the following:

Correct Answer:
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(a) Dissociation reaction:

A dissociation reaction refers to the process in which a compound breaks down into smaller components, typically ions or molecules. This occurs when the compound is dissolved in a solvent, such as water. For example, when sodium chloride (NaCl) is dissolved in water, it dissociates into sodium ions (Na\(^+\)) and chloride ions (Cl\(^-\)).

Example: \[ NaCl \longrightarrow Na^+ + Cl^-. \]


(b) Corrosion:

Corrosion is the gradual degradation or deterioration of materials, especially metals, due to chemical reactions with the environment. One of the most common examples is the corrosion of iron, known as rusting, where iron reacts with oxygen and water to form iron oxide (Fe\(_2\)O\(_3\)).

The reaction for rusting of iron is: \[ Fe + O_2 + H_2O \longrightarrow Fe_2O_3 \cdot xH_2O \quad (rust). \]


(c) Galvanization:

Galvanization is the process of coating iron or steel with a layer of zinc to prevent rusting or corrosion. The zinc layer acts as a protective barrier, and since zinc is more reactive than iron, it corrodes first, thus protecting the underlying metal. Galvanization is commonly used for outdoor structures, such as fences and roofs.

In the process, the metal is dipped into molten zinc, forming a protective coating. This process is widely used to protect metals from the damaging effects of corrosion. Quick Tip: Galvanization provides long-lasting protection against corrosion, especially in environments where metals are exposed to moisture and air.


Question 31:

What are Mendel's laws? Explain them with suitable diagrams.

Correct Answer:
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Mendel's laws of inheritance describe how traits are passed from one generation to the next. These laws are based on experiments he conducted on pea plants. There are two main laws:

1. Law of Segregation:
This law states that every individual has two alleles for each gene, one inherited from each parent. These alleles segregate (separate) during the formation of gametes, so each gamete receives only one allele for each gene. When two gametes fuse during fertilization, the offspring inherits one allele from each parent.

2. Law of Independent Assortment:
This law states that genes for different traits assort independently of one another during gamete formation. This means the inheritance of one trait is not influenced by the inheritance of another. For example, the gene for seed color and the gene for seed shape assort independently during gamete formation.

Suitable Diagram for Mendel’s Laws:



(Include the diagram of Mendel's law of segregation and independent assortment)


Conclusion:

Mendel’s laws laid the foundation for the study of genetics, helping us understand how traits are inherited. Quick Tip: Mendel’s experiments with pea plants led to the discovery of fundamental principles of inheritance that govern the transmission of traits.


Question 32:

Draw a labelled diagram of longitudinal section (L.S.) of gynoecium to show the fertilization in flowers and describe it.

Correct Answer:
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The gynoecium is the female reproductive part of the flower and consists of one or more carpels. Each carpel includes the stigma, style, and ovary, where the ovules are located. The process of fertilization in flowers involves the fusion of male and female gametes. Here is the description of the process:

1. Pollination: Pollens from the anther are transferred to the stigma of the gynoecium by agents like wind, insects, or water.
2. Germination of Pollen: The pollen grain germinates on the stigma, producing a pollen tube.
3. Growth of Pollen Tube: The pollen tube grows down through the style, reaching the ovary and entering one of the ovules.
4. Fertilization: The male gamete (sperm) from the pollen fuses with the female gamete (egg) in the ovule to form a zygote, which later develops into a seed.

Labelled Diagram of Longitudinal Section (L.S.) of Gynoecium:



(Include the diagram showing the longitudinal section of the gynoecium and the path of fertilization)


Conclusion:

Fertilization in flowers occurs when the male and female gametes meet in the ovule, resulting in the formation of seeds that can grow into new plants. Quick Tip: Fertilization in flowers involves the union of male and female gametes, resulting in the formation of a zygote, which later develops into a seed.


Question 33:

Why is conservation of forest necessary? Explain.

Correct Answer:
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Conservation of forests is crucial for several reasons, and it plays a vital role in maintaining ecological balance. Here are some of the key reasons why forest conservation is necessary:

1. Preservation of Biodiversity:

Forests are home to a vast variety of plants and animals, including many species that are not found anywhere else. By conserving forests, we help protect these species and maintain biodiversity, which is essential for the health of the planet.

2. Climate Regulation:

Forests play a significant role in regulating the Earth's climate. They absorb carbon dioxide (CO₂), a greenhouse gas, and release oxygen. This helps mitigate the effects of climate change by reducing the concentration of CO₂ in the atmosphere.

3. Soil Conservation:

Forests help prevent soil erosion by holding the soil together with their roots. They also maintain the fertility of the soil by providing organic matter when leaves decompose. This is important for agriculture and preventing desertification.

4. Water Cycle Regulation:

Forests regulate the water cycle by maintaining the flow of rivers and groundwater. The trees absorb and release water through transpiration, which contributes to rainfall and keeps water sources replenished.

5. Economic Importance:

Forests provide timber, fuelwood, medicinal plants, and other products that are essential for the economy. Conserving forests ensures a sustainable supply of these resources for future generations.

6. Livelihoods:

Millions of people depend on forests for their livelihood, including indigenous communities who rely on forests for food, shelter, and cultural practices. Conserving forests ensures their continued well-being.


Conclusion:

Conserving forests is essential for maintaining biodiversity, regulating the climate, preventing soil erosion, ensuring a sustainable water cycle, and supporting the livelihoods of communities. It is important for our present and future well-being. Quick Tip: Forest conservation is a key factor in maintaining ecological balance and ensuring a healthy and sustainable environment for future generations.


Question 34:

Explain the structure of Nephron and mechanism of its working.

Correct Answer:
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The nephron is the functional unit of the kidney, responsible for the filtration of blood and the formation of urine. It is composed of several parts that work together to filter blood and eliminate waste products. The structure of a nephron consists of:

1. Renal Corpuscle:

The renal corpuscle consists of two parts:
- Bowman's Capsule: A cup-shaped structure that encloses the glomerulus.
- Glomerulus: A network of capillaries where blood filtration occurs. Blood enters the glomerulus via the afferent arteriole and is filtered into the Bowman's capsule.

2. Proximal Convoluted Tubule (PCT):

The filtrate from the Bowman's capsule passes into the PCT, where a large amount of reabsorption occurs. Important substances like glucose, amino acids, and ions are reabsorbed back into the blood.

3. Loop of Henle:

The loop of Henle is responsible for the concentration of urine. It has a descending limb that allows water reabsorption and an ascending limb that allows ion reabsorption.

4. Distal Convoluted Tubule (DCT):

The DCT further adjusts the composition of the filtrate. It is involved in the reabsorption of sodium and water, as well as the secretion of potassium and hydrogen ions.

5. Collecting Duct:

The collecting duct collects the filtrate from several nephrons. It plays a key role in the regulation of water and electrolyte balance, influenced by hormones like ADH (Antidiuretic Hormone).

Mechanism of Working:

1. Blood is filtered in the glomerulus under high pressure. Water, salts, glucose, and urea pass into the Bowman's capsule, forming the glomerular filtrate.

2. The filtrate then moves through the PCT, where essential substances are reabsorbed.

3. As the filtrate passes through the loop of Henle, water and salts are reabsorbed to create concentrated urine.

4. In the DCT, additional reabsorption of sodium and water occurs, and waste products like potassium are secreted into the filtrate.

5. The final filtrate enters the collecting duct, where water reabsorption is regulated to form urine, which is eventually excreted.


Conclusion:

The nephron performs blood filtration, reabsorption of useful substances, secretion of waste, and regulation of water and electrolyte balance, playing a key role in maintaining homeostasis. Quick Tip: The nephron's ability to reabsorb water and salts and secrete waste is essential for the body's fluid and electrolyte balance.


Question 35:

Draw a labelled diagram of the human digestive system and explain the digestive process.

Correct Answer:
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The human digestive system is responsible for breaking down food into simpler molecules that can be absorbed by the body. The main parts of the digestive system are:

1. Mouth:

Digestion begins in the mouth, where food is mechanically broken down by chewing and chemically broken down by saliva, which contains enzymes like amylase that start carbohydrate digestion.

2. Esophagus:

The food is swallowed and travels down the esophagus through peristalsis (wave-like muscle contractions) to reach the stomach.

3. Stomach:

In the stomach, food is mixed with gastric juices, which contain hydrochloric acid and pepsin (an enzyme that starts protein digestion). The stomach churns the food into a semi-liquid substance called chyme.

4. Small Intestine:

The chyme enters the small intestine, where most digestion and absorption occur. The pancreas releases enzymes (amylase, lipase, protease) that break down carbohydrates, fats, and proteins. The liver produces bile, which emulsifies fats, aiding in their digestion. The walls of the small intestine absorb nutrients into the bloodstream.

5. Large Intestine:

Any remaining indigestible food passes into the large intestine, where water is absorbed, and the remaining material is compacted into feces.

6. Anus:

Finally, the feces are expelled from the body through the anus during defecation.

Digestive Process:

1. Ingestion: Food is taken into the mouth.
2. Digestion: Food is mechanically and chemically broken down into smaller molecules.
3. Absorption: Nutrients from the digested food are absorbed into the bloodstream through the walls of the small intestine.
4. Elimination: Indigestible food materials are eliminated from the body as feces.


Conclusion:

The digestive system processes food, absorbs nutrients, and removes waste, playing a crucial role in maintaining overall health. Quick Tip: The digestive system works through a combination of mechanical breakdown, enzymatic digestion, absorption of nutrients, and elimination of waste.