MHT CET 2025 16 April Shift 2 Question Paper (Available): Download Question Paper (PCB) with Answers PDF

MHT CET 2025 April 16 Shift 2 Questions with Solutions

Question 1:

A simple pendulum of length 1 m is oscillating with a small amplitude. If the acceleration due to gravity is \( 9.8 \, m/s^2 \), what is the time period of the pendulum?

• (1) \( 1.0 \, s \)
• (2) \( 2.0 \, s \)
• (3) \( 3.0 \, s \)
• (4) \( 4.0 \, s \)

A wire of length 2 m and resistance 8 \(\Omega\) is stretched to double its original length, keeping the volume constant. What is the new resistance of the wire?

• (1) \( 16 \, \Omega \)
• (2) \( 32 \, \Omega \)
• (3) \( 8 \, \Omega \)
• (4) \( 4 \, \Omega \)

A ball is thrown vertically upwards with an initial velocity of 20 m/s. If the acceleration due to gravity is \( 10 \, m/s^2 \), what is the maximum height reached by the ball?

• (1) \( 10 \, m \)
• (2) \( 20 \, m \)
• (3) \( 40 \, m \)
• (4) \( 80 \, m \)

Two point charges +4  and -2 are separated by a distance of 0.3 m in air. What is the magnitude of the electrostatic force between them? (Given: Coulomb’s constant \( k = 9 \times 10^9 \, N·m^2/C^2 \))

• (1) \( 8 \, N \)
• (2) \( 16 \, N \)
• (3) \( 24 \, N \)
• (4) \( 32 \, N \)

A convex lens has a focal length of 20 cm. An object is placed 30 cm in front of the lens. What is the image distance from the lens?

• (1) \( 12 \, cm \)
• (2) \( 60 \, cm \)
• (3) \( 15 \, cm \)
• (4) \( 30 \, cm \)

A block of mass 5 kg is pulled along a horizontal surface by a force of 20 N at an angle of 30° to the horizontal. If the coefficient of friction between the block and the surface is 0.2 and the acceleration due to gravity is \( 10 \, m/s^2 \), what is the work done by the applied force in moving the block 10 m?

• (1) \( 100 \, J \)
• (2) \( 173.2 \, J \)
• (3) \( 200 \, J \)
• (4) \( 346.4 \, J \)

A copper block of mass 2 kg is heated from 20°C to 100°C. If the specific heat capacity of copper is \( 400 \, J/kg°C \), how much heat energy is absorbed by the block? (Assume no phase change occurs.)

• (1) \( 6400 \, J \)
• (2) \( 16000 \, J \)
• (3) \( 32000 \, J \)
• (4) \( 64000 \, J \)

A circular coil of 50 turns, each of radius 0.1 m, carries a current of 2 A. If the coil is placed in a uniform magnetic field of 0.5 T perpendicular to its plane, what is the magnitude of the torque acting on the coil?

• (1) \( 0.157 \, N·m \)
• (2) \( 0.785 \, N·m \)
• (3) \( 1.57 \, N·m \)
• (4) \( 3.14 \, N·m \)

What volume of oxygen gas at STP is required to completely burn 12 g of methane (\( CH_4 \))? (Molar mass of \( CH_4 = 16 \, g/mol \), 1 mole of gas at STP occupies \( 22.4 \, L \)).

• (1) \( 11.2 \, L \)
• (2) \( 22.4 \, L \)
• (3) \( 33.6 \, L \)
• (4) \( 44.8 \, L \)

In an electrochemical cell, the standard electrode potential of \( Zn^{2+}/Zn \) is \( -0.76 \, V \) and that of \( Cu^{2+}/Cu \) is \( +0.34 \, V \). What is the standard EMF of the cell formed by these electrodes?

• (1) \( 0.42 \, V \)
• (2) \( 1.10 \, V \)
• (3) \( -1.10 \, V \)
• (4) \( -0.42 \, V \)

Which of the following compounds will give a positive iodoform test?

• (1) Methanol
• (2) Ethanol
• (3) Propan-1-ol
• (4) Propan-2-ol

The enthalpy change for the reaction \( C_2H_4 (g) + 3O_2 (g) \rightarrow 2CO_2 (g) + 2H_2O (l) \) is \( -1410 \, kJ/mol \). If the standard enthalpies of formation of \( CO_2 (g) \) and \( H_2O (l) \) are \( -393.5 \, kJ/mol \) and \( -286 \, kJ/mol \) respectively, what is the standard enthalpy of formation of \( C_2H_4 (g) \)?

• (1) \( +52 \, kJ/mol \)
• (2) \( -52 \, kJ/mol \)
• (3) \( +104 \, kJ/mol \)
• (4) \( -104 \, kJ/mol \)

What is the molarity of a solution prepared by dissolving 5.85 g of NaCl in water to make 250 mL of solution? (Molar mass of NaCl = \( 58.5 \, g/mol \)).

• (1) \( 0.1 \, M \)
• (2) \( 0.2 \, M \)
• (3) \( 0.4 \, M \)
• (4) \( 1.0 \, M \)

The rate constant for a first-order reaction is \( 0.0693 \, min^{-1} \). What is the half-life of the reaction?

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

The energy of an electron in the second orbit of a hydrogen atom is \( -3.4 \, eV \). What is the energy of the electron in the third orbit? (Given: Energy of an electron in the \( n \)-th orbit of hydrogen is \( E_n = -\frac{13.6}{n^2} \, eV \)).

• (1) \( -1.51 \, eV \)
• (2) \( -2.27 \, eV \)
• (3) \( -3.4 \, eV \)
• (4) \( -6.04 \, eV \)

For the reaction \( N_2 (g) + 3H_2 (g) \rightleftharpoons 2NH_3 (g) \), the equilibrium constant \( K_c \) is \( 4.0 \times 10^{-2} \) at a certain temperature. If the equilibrium concentrations are \( [N_2] = 0.5 \, M \) and \( [H_2] = 1.5 \, M \), what is the equilibrium concentration of \( NH_3 \)?

• (1) \( 0.075 \, M \)
• (2) \( 0.15 \, M \)
• (3) \( 0.30 \, M \)
• (4) \( 0.60 \, M \)

Which of the following coordination compounds exhibits geometrical isomerism?

• (1) \( [Co(NH_3)_6]Cl_3 \)
• (2) \( [Co(NH_3)_4Cl_2]Cl \)
• (3) \( [Co(NH_3)_5Cl]Cl_2 \)
• (4) \( [Co(Cl)_4]^{2-} \)

In plants, which of the following hormones is primarily responsible for promoting cell elongation in stems?

• (1) Cytokinin
• (2) Gibberellin
• (3) Abscisic acid
• (4) Ethylene

Which part of the human nephron is primarily responsible for the reabsorption of glucose and amino acids?

• (1) Bowman’s capsule
• (2) Proximal convoluted tubule
• (3) Loop of Henle
• (4) Distal convoluted tubule

In recombinant DNA technology, which enzyme is used to cut DNA at specific recognition sites to produce restriction fragments?

• (1) DNA polymerase
• (2) Restriction endonuclease
• (3) Ligase
• (4) Reverse transcriptase

Which of the following is a pioneer species in the primary succession of a bare rock?

• (1) Grasses
• (2) Lichens
• (3) Shrubs
• (4) Trees

In flowering plants, the process of double fertilization results in the formation of which two structures?

• (1) Embryo and endosperm
• (2) Embryo and seed coat
• (3) Endosperm and pollen grain
• (4) Seed coat and ovule

In a DNA molecule, if the percentage of adenine (A) is 30%, what is the percentage of cytosine (C)?

• (1) 20%
• (2) 30%
• (3) 40%
• (4) 50%

Which of the following microorganisms is used in the production of curd from milk?

• (1) Saccharomyces cerevisiae
• (2) Lactobacillus acidophilus
• (3) Aspergillus niger
• (4) Penicillium notatum

Which of the following is an example of homologous structures that provide evidence for evolution?

• (1) Wings of a bird and wings of an insect
• (2) Forelimbs of a human and wings of a bat
• (3) Fins of a fish and flippers of a whale
• (4) Stingers of a bee and spines of a porcupine

In the human heart, which chamber receives oxygenated blood from the lungs?

• (1) Right atrium
• (2) Right ventricle
• (3) Left atrium
• (4) Left ventricle

Which organelle in a eukaryotic cell is primarily responsible for synthesizing proteins destined for secretion?

• (1) Mitochondrion
• (2) Rough endoplasmic reticulum
• (3) Golgi apparatus
• (4) Lysosome

In a cross between a pea plant heterozygous for round seeds (Rr) and a plant with wrinkled seeds (rr), what is the expected phenotypic ratio of the offspring?

• (1) 1 Round : 1 Wrinkled
• (2) 3 Round : 1 Wrinkled
• (3) All Round
• (4) All Wrinkled

In flowering plants, which structure develops into the fruit after fertilization?

• (1) Ovary
• (2) Ovule
• (3) Anther
• (4) Stigma