MHT CET 2025 16 April Shift 1 Question Paper (Available): Download Question Paper (PCB) with Answers PDF

A long straight current-carrying wire is placed in a uniform magnetic field of strength \( B = 0.5 \, T \). If the current in the wire is \( I = 2 \, A \) and the wire makes an angle of \( 30^\circ \) with the magnetic field, find the force per unit length on the wire.

• (1) \( 1.0 \, N/m \)
• (2) \( 2.0 \, N/m \)
• (3) \( 0.5 \, N/m \)
• (4) \( 3.0 \, N/m \)

A ball is thrown vertically upward with an initial velocity of \( 20 \, m/s \). Calculate the time taken for the ball to reach its maximum height.

• (1) \( 2 \, s \)
• (2) \( 4 \, s \)
• (3) \( 1.5 \, s \)
• (4) \( 3 \, s \)

A 10 kg object is lifted to a height of 5 meters. Calculate the work done in lifting the object.

• (1) \( 500 \, J \)
• (2) \( 100 \, J \)
• (3) \( 200 \, J \)
• (4) \( 150 \, J \)

A gas in a cylinder is compressed from an initial volume of \( 5 \, m^3 \) to a final volume of \( 2 \, m^3 \) while maintaining a constant pressure of \( 1 \times 10^5 \, Pa \). Calculate the work done by the gas during the compression.

• (1) \( -3 \times 10^5 \, J \)
• (2) \( -1 \times 10^5 \, J \)
• (3) \( 3 \times 10^5 \, J \)
• (4) \( 1 \times 10^5 \, J \)

A concave mirror has a focal length of \( 10 \, cm \). An object is placed at a distance of \( 15 \, cm \) from the mirror. Calculate the position of the image formed.

• (1) \( 30 \, cm \) (real and inverted)
• (2) \( 5 \, cm \) (virtual and erect)
• (3) \( 10 \, cm \) (real and inverted)
• (4) \( 20 \, cm \) (virtual and erect)

A long straight wire carries a current of 10 A. A proton moves parallel to the wire at a distance of 0.05 m with a velocity of \( 2 \times 10^5 \, m/s \) in the same direction as the current. Find the magnitude of the magnetic force acting on the proton. (Given: Charge of proton \( q = 1.6 \times 10^{-19} \, C \), permeability of free space \( \mu_0 = 4\pi \times 10^{-7} \, Tm/A \)).

• (1) \( 2.56 \times 10^{-19} \, N \)
• (2) \( 1.28 \times 10^{-19} \, N \)
• (3) \( 5.12 \times 10^{-19} \, N \)
• (4) \( 3.84 \times 10^{-19} \, N \)

In a circuit, a current of \( 2 \, A \) flows through a resistor of resistance \( 5 \, \Omega \). Calculate the power dissipated in the resistor.

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

A cylindrical pipe has a radius of \( 0.1 \, m \). If the speed of water flowing through the pipe is \( 2 \, m/s \), calculate the volume flow rate of water through the pipe.

• (1) \( 0.0628 \, m^3/s \)
• (2) \( 0.0314 \, m^3/s \)
• (3) \( 0.1256 \, m^3/s \)
• (4) \( 0.02 \, m^3/s \)

In the reaction \( 2 \, H_2 + O_2 \rightarrow 2 \, H_2O \), how many moles of water are produced when 4 moles of hydrogen react with excess oxygen?

• (1) \( 2 \, mol \)
• (2) \( 4 \, mol \)
• (3) \( 6 \, mol \)
• (4) \( 8 \, mol \)

The wavelength of the light emitted by a hydrogen atom during a transition from \( n = 3 \) to \( n = 2 \) is \( 656.3 \, nm \). What is the energy of the photon emitted during this transition?

• (1) \( 3.02 \times 10^{-19} \, J \)
• (2) \( 4.56 \times 10^{-19} \, J \)
• (3) \( 2.18 \times 10^{-19} \, J \)
• (4) \( 5.00 \times 10^{-19} \, J \)

For a reaction, the rate law is given by \( rate = k[A]^2[B] \). If the concentration of \( A \) is doubled and the concentration of \( B \) is halved, how will the rate of the reaction change?

• (1) The rate will be doubled.
• (2) The rate will be halved.
• (3) The rate will be quadrupled.
• (4) The rate will remain unchanged.

A gas absorbs \( 100 \, J \) of heat while performing \( 40 \, J \) of work on its surroundings. Calculate the change in internal energy of the gas.

• (1) \( 60 \, J \)
• (2) \( 140 \, J \)
• (3) \( 40 \, J \)
• (4) \( 100 \, J \)

Which of the following is the correct IUPAC name for the compound with the molecular formula \( C_5H_{12} \) that contains a branched chain with a methyl group attached to the second carbon of a butane chain?

• (1) 2-Methylbutane
• (2) 3-Methylbutane
• (3) 2-Ethylpropane
• (4) Pentane

For the reaction \( N_2(g) + 3 \, H_2(g) \rightleftharpoons 2 \, NH_3(g) \), the equilibrium constant \( K_c \) at a certain temperature is \( 0.5 \). If the initial concentrations of \( N_2 \), \( H_2 \), and \( NH_3 \) are \( 1.0 \, mol/L \), \( 1.0 \, mol/L \), and \( 0 \, mol/L \) respectively, calculate the equilibrium concentrations of all species.

• (1) \( [N_2] = 0.5 \, mol/L, [H_2] = 0.5 \, mol/L, [NH_3] = 1.0 \, mol/L \)
• (2) \( [N_2] = 0.75 \, mol/L, [H_2] = 0.75 \, mol/L, [NH_3] = 0.5 \, mol/L \)
• (3) \( [N_2] = 0.25 \, mol/L, [H_2] = 0.25 \, mol/L, [NH_3] = 1.25 \, mol/L \)
• (4) \( [N_2] = 0.33 \, mol/L, [H_2] = 0.33 \, mol/L, [NH_3] = 1.33 \, mol/L \)

In the reaction \( Zn(s) + Cu^{2+}(aq) \rightarrow Zn^{2+}(aq) + Cu(s) \), what is the oxidation state of zinc in the products?

• (1) \( +2 \)
• (2) \( +1 \)
• (3) \( 0 \)
• (4) \( -2 \)

In humans, the condition of color blindness is caused by a recessive allele located on the X chromosome. A color-blind woman marries a man with normal vision. What is the probability that their son will be color-blind?

• (1) \( 0% \)
• (2) \( 25% \)
• (3) \( 50% \)
• (4) \( 100% \)

A man with blood group AB marries a woman with blood group O. What is the probability that their child will have blood group A?

• (1) \( 0% \)
• (2) \( 25% \)
• (3) \( 50% \)
• (4) \( 75% \)

Which of the following enzymes is responsible for breaking down starch into maltose during digestion in humans?

• (1) Trypsin
• (2) Amylase
• (3) Lipase
• (4) Pepsin

In a flowering plant, a cross is made between a homozygous dominant tall plant (TT) and a homozygous recessive dwarf plant (tt). What is the phenotypic ratio of the F1 generation?

• (1) 1 Tall : 1 Dwarf
• (2) 3 Tall : 1 Dwarf
• (3) All Tall
• (4) All Dwarf

Which of the following is the primary site of gaseous exchange in the human respiratory system?

• (1) Trachea
• (2) Bronchi
• (3) Alveoli
• (4) Bronchioles

In a dihybrid cross between two heterozygous pea plants (RrYy × RrYy), what is the phenotypic ratio of the offspring for seed shape and seed color? (R = round, r = wrinkled; Y = yellow, y = green)

• (1) 1:1:1:1
• (2) 9:3:3:1
• (3) 3:1
• (4) 1:2:1

Which of the following hormones is secreted by the anterior pituitary gland and stimulates the thyroid gland to release thyroxine?

• (1) Adrenocorticotropic hormone (ACTH)
• (2) Thyroid-stimulating hormone (TSH)
• (3) Follicle-stimulating hormone (FSH)
• (4) Luteinizing hormone (LH)

In DNA replication, which enzyme is responsible for unwinding the double helix and separating the DNA strands?

• (1) DNA polymerase
• (2) Helicase
• (3) Ligase
• (4) Primase

In a population of plants, the allele for red flowers (R) is dominant over the allele for white flowers (r). If 36% of the population has white flowers, what is the frequency of the recessive allele (r) in the population?

• (1) 0.6
• (2) 0.4
• (3) 0.36
• (4) 0.64