MHT CET 2025 17 April Shift 1 Question Paper (Available): Download Question Paper (PCB) with Answers PDF

MHT CET 2025 April 17 Shift 1 Questions with Solutions

Question 1:

A body of mass 5 kg is initially at rest on a smooth horizontal surface. A constant force of 20 N is applied to the body. Find the acceleration of the body and the distance traveled by the body in 10 seconds.

• (1) \( 2 \, m/s^2 \), \( 50 \, m \)
• (2) \( 4 \, m/s^2 \), \( 80 \, m \)
• (3) \( 4 \, m/s^2 \), \( 40 \, m \)
• (4) \( 2 \, m/s^2 \), \( 100 \, m \)

A spherical object of radius \( R \) is placed in a uniform electric field \( E \). If the dielectric constant of the material of the object is \( K \), find the induced charge on the surface of the object.

• (1) \( K \cdot E \cdot R^2 \)
• (2) \( \frac{K \cdot E \cdot R^2}{2} \)
• (3) \( \frac{E \cdot R^2}{K} \)
• (4) \( E \cdot R^2 \)

A 100 W light bulb is connected to a 220 V power supply. Find the current flowing through the bulb.

• (1) \( 0.45 \, A \)
• (2) \( 0.50 \, A \)
• (3) \( 1.00 \, A \)
• (4) \( 2.00 \, A \)

A ball is thrown vertically upwards with an initial speed of 10 m/s. Calculate the maximum height reached by the ball. (Assume \( g = 9.8 \, m/s^2 \))

• (1) \( 5 \, m \)
• (2) \( 10 \, m \)
• (3) \( 15 \, m \)
• (4) \( 20 \, m \)

A car accelerates from rest with a constant acceleration of \( 2 \, m/s^2 \) for 5 seconds. Find the final velocity of the car.

• (1) \( 5 \, m/s \)
• (2) \( 10 \, m/s \)
• (3) \( 15 \, m/s \)
• (4) \( 20 \, m/s \)

A metal wire has a length of 2 meters and a resistance of \( 10 \, \Omega \). If the length of the wire is doubled, while keeping the material and cross-sectional area the same, what will be the new resistance?

• (1) \( 10 \, \Omega \)
• (2) \( 20 \, \Omega \)
• (3) \( 40 \, \Omega \)
• (4) \( 5 \, \Omega \)

A 1.0 kg object is dropped from a height of 5 meters. Calculate the velocity of the object just before it hits the ground. (Assume no air resistance and \( g = 9.8 \, m/s^2 \))

• (1) \( 5 \, m/s \)
• (2) \( 10 \, m/s \)
• (3) \( 15 \, m/s \)
• (4) \( 20 \, m/s \)

In a p-n junction diode, if the forward bias voltage is increased, how does the current flowing through the diode change?

• (1) The current increases exponentially.
• (2) The current increases linearly.
• (3) The current remains constant.
• (4) The current decreases exponentially.

A ray of light passes through a glass slab with refractive index \( n = 1.5 \) at an angle of incidence of \( 30^\circ \). What is the angle of refraction inside the glass? (Use \( \sin 30^\circ = 0.5 \))

• (1) \( 20^\circ \)
• (2) \( 25^\circ \)
• (3) \( 18^\circ \)
• (4) \( 15^\circ \)

A body oscillates with simple harmonic motion with an amplitude of 2 cm and a period of 4 seconds. What is the maximum speed of the body?

• (1) \( 0.5 \, m/s \)
• (2) \( 1.0 \, m/s \)
• (3) \( 0.25 \, m/s \)
• (4) \( 2.0 \, m/s \)

A magnetic field of strength \( B = 2 \, T \) is applied perpendicular to a current-carrying conductor. If the current in the conductor is \( I = 3 \, A \) and the length of the conductor within the magnetic field is \( L = 1.5 \, m \), calculate the force acting on the conductor.

• (1) \( 9 \, N \)
• (2) \( 6 \, N \)
• (3) \( 3 \, N \)
• (4) \( 12 \, N \)

The reaction between hydrogen and oxygen to form water is given as: \( 2H_2 + O_2 \rightarrow 2H_2O \).
If 4 moles of hydrogen react with excess oxygen, how many moles of water will be formed?

• (1) 1 mole
• (2) 2 moles
• (3) 4 moles
• (4) 8 moles

What is the oxidation state of chromium in the compound \( Cr_2O_3 \)?

• (1) +2
• (2) +3
• (3) +6
• (4) +1

Which of the following gases is most likely to exhibit ideal gas behavior?

• (1) \( H_2 \)
• (2) \( CO_2 \)
• (3) \( H_2O \)
• (4) \( NH_3 \)

What is the pH of a solution with a hydrogen ion concentration of \( [H^+] = 1 \times 10^{-4} \, M \)?

• (1) 4
• (2) 7
• (3) 10
• (4) 3

Which of the following compounds is an example of an ester?

• (1) \( CH_3COOH \)
• (2) \( CH_3COOCH_3 \)
• (3) \( CH_3OH \)
• (4) \( C_6H_6 \)

Which of the following is the correct electron configuration for the element with atomic number 19?

• (1) \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^1 \)
• (2) \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 \)
• (3) \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^1 \)
• (4) \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} \)

Which of the following compounds has the highest boiling point?

• (1) \( CH_4 \)
• (2) \( H_2O \)
• (3) \( NH_3 \)
• (4) \( CO_2 \)

Which of the following is a strong electrolyte?

• (1) \( NaCl \)
• (2) \( C_6H_6 \)
• (3) \( CH_3OH \)
• (4) \( C_2H_5OH \)

What is the limiting reagent in the reaction: \( 2H_2 + O_2 \rightarrow 2H_2O \), if 3 moles of \( H_2 \) and 2 moles of \( O_2 \) are reacted together?

• (1) \( H_2 \)
• (2) \( O_2 \)
• (3) Both are limiting reagents
• (4) Neither is limiting

Which of the following is the primary function of ribosomes in a cell?

• (1) Protein synthesis
• (2) Energy production
• (3) DNA replication
• (4) Transport of materials

Which of the following is NOT a part of the human circulatory system?

• (1) Heart
• (2) Arteries
• (3) Lungs
• (4) Veins

Which organ in the human body is primarily responsible for regulating blood sugar levels?

• (1) Liver
• (2) Pancreas
• (3) Kidney
• (4) Small intestine

What is the role of chlorophyll in photosynthesis?

• (1) It absorbs light energy and converts it to chemical energy.
• (2) It synthesizes glucose from carbon dioxide.
• (3) It breaks down glucose to release energy.
• (4) It transports oxygen to other parts of the plant.

What is the primary function of the large intestine in the human digestive system?

• (1) It absorbs nutrients and water from digested food.
• (2) It breaks down food into simpler molecules.
• (3) It stores and concentrates bile.
• (4) It absorbs water and forms feces.

What is the primary function of the mitochondria in eukaryotic cells?

• (1) Protein synthesis
• (2) Energy production
• (3) Genetic information storage
• (4) Detoxification of harmful substances

Which of the following is an example of active transport in cells?

• (1) Osmosis
• (2) Diffusion
• (3) Sodium-potassium pump
• (4) Facilitated diffusion

Which of the following is responsible for the synthesis of ribosomal RNA (rRNA) in eukaryotic cells?

• (1) Mitochondria
• (2) Nucleolus
• (3) Endoplasmic reticulum
• (4) Golgi apparatus

Which of the following is a characteristic of prokaryotic cells?

• (1) Presence of a defined nucleus
• (2) Presence of membrane-bound organelles
• (3) Presence of ribosomes
• (4) Presence of multiple linear chromosomes

In which stage of the cell cycle does DNA replication occur?

• (1) G1 phase
• (2) S phase
• (3) G2 phase
• (4) M phase

Which of the following is a function of white blood cells (WBCs) in the human body?

• (1) Transporting oxygen to tissues
• (2) Fighting infections and diseases
• (3) Producing insulin
• (4) Clotting blood