MHT CET 2025 21 April Shift 2 Question Paper (Available): Download Question Paper (PCM) with Answers PDF

What is the energy stored in a capacitor of capacitance C = 10 muF when a potential difference of \( V = 20 \, V \) is applied across it?

• (1) \( 0.01 \, J \)
• (2) \( 2 \, J \)
• (3) \( 4 \, J \)
• (4) \( 0.1 \, J \)

What is the frequency of a wave with a wavelength of \( 2 \, m \) and a velocity of \( 4 \, m/s \)?

• (1) \( 2 \, Hz \)
• (2) \( 0.5 \, Hz \)
• (3) \( 1 \, Hz \)
• (4) \( 4 \, Hz \)

What is the gravitational force between two objects of masses \( m_1 = 10 \, kg \) and \( m_2 = 20 \, kg \), separated by a distance of \( r = 5 \, m \)?
(Gravitational constant \( G = 6.67 \times 10^{-11} \, N m^2/kg^2 \))

• (1) \( 1.33 \times 10^{-9} \, N \)
• (2) \( 2.67 \times 10^{-9} \, N \)
• (3) \( 4.67 \times 10^{-9} \, N \)
• (4) \( 5.33 \times 10^{-9} \, N \)

A car travels a distance of 200 meters in 20 seconds. What is the average speed of the car?

• (1) \( 10 \, m/s \)
• (2) \( 20 \, m/s \)
• (3) \( 5 \, m/s \)
• (4) \( 40 \, m/s \)

A block of mass \( 5 \, kg \) is placed on a frictionless surface. If a force of \( 10 \, N \) is applied to the block, what will be the acceleration of the block?

• (1) \( 2 \, m/s^2 \)
• (2) \( 5 \, m/s^2 \)
• (3) \( 0.5 \, m/s^2 \)
• (4) \( 10 \, m/s^2 \)

A 0.2 kg ball is thrown vertically upwards with an initial velocity of \( 10 \, m/s \). What is the maximum height reached by the ball?
(Acceleration due to gravity \( g = 9.8 \, m/s^2 \))

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

A 1.5 kg object is moving with a velocity of \( 4 \, m/s \). What is its kinetic energy?

• (1) \( 12 \, J \)
• (2) \( 24 \, J \)
• (3) \( 6 \, J \)
• (4) \( 48 \, J \)

The resistance of a wire is \( 10 \, \Omega \) and the current passing through it is \( 2 \, A \). What is the potential difference across the wire?

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

A 2 kg object is in a gravitational field where the acceleration due to gravity is \( 9.8 \, m/s^2 \). What is the gravitational potential energy of the object at a height of \( 5 \, m \)?

• (1) \( 98 \, J \)
• (2) \( 49 \, J \)
• (3) \( 196 \, J \)
• (4) \( 10 \, J \)

A light ray passes from air (refractive index \( n_1 = 1 \)) into water (refractive index \( n_2 = 1.33 \)). If the angle of incidence is \( 30^\circ \), what is the angle of refraction in the water?

• (1) \( 22^\circ \)
• (2) \( 30^\circ \)
• (3) \( 23.6^\circ \)
• (4) \( 40^\circ \)

A force of \( 100 \, N \) is applied to an object at an angle of \( 30^\circ \) to the horizontal. What is the work done by the force in moving the object a distance of \( 5 \, m \)?

• (1) \( 500 \, J \)
• (2) \( 250 \, J \)
• (3) \( 433 \, J \)
• (4) \( 100 \, J \)

A wire has a resistance of \( 10 \, \Omega \) at \( 20^\circ C \). If the temperature coefficient of resistance of the material is \( 0.004 \, per^\circ C \), what is the resistance of the wire at \( 50^\circ C \)?

• (1) \( 12 \, \Omega \)
• (2) \( 10.6 \, \Omega \)
• (3) \( 15 \, \Omega \)
• (4) \( 20 \, \Omega \)

What is the molar mass of a gas, if 2.5 g of the gas occupies 1.12 L at STP?

• (2) 22.4 g/mol
• (3) 44 g/mol
• (4) 28 g/mol

Which of the following is the correct electronic configuration for the element with atomic number 16?

• (2) \( 1s^2 2s^2 2p^6 3s^2 3p^6 \)
• (3) \( 1s^2 2s^2 2p^6 3s^2 3p^5 \)
• (4) \( 1s^2 2s^2 2p^6 3s^2 3p^3 \)

What is the pH of a solution when the concentration of hydrogen ions \([H^+]\) is \( 1 \times 10^{-5} \, mol/L \)?

• (1) 5
• (2) 9
• (3) 7
• (4) 4

What is the mass of 0.5 moles of water (H\(_2\)O)?

Which of the following represents the correct IUPAC name for \( CH_3CH_2OH \)?

Which of the following gases is responsible for the greenhouse effect?

• (1) Oxygen
• (2) Carbon dioxide
• (3) Nitrogen
• (4) Hydrogen

What is the oxidation state of chlorine in \( Cl_2 O_7 \)?

• (1) +7
• (2) +5
• (3) -1
• (4) +3

Which of the following is the strongest acid in aqueous solution?

• (1) \( HCl \)
• (2) \( H_2SO_4 \)
• (3) \( HNO_3 \)
• (4) \( HF \)

What is the value of the ionization constant \( K_a \) for acetic acid (\( CH_3COOH \)) if the concentration of acetic acid is 0.1 M and the concentration of \( H^+ \) ions at equilibrium is 1.0 x \( 10^{-3} \) M?

• (1) \( 1 \times 10^{-5} \)
• (2) \( 1 \times 10^{-4} \)
• (3) \( 1 \times 10^{-3} \)
• (4) \( 1 \times 10^{-6} \)

Which of the following compounds is the most soluble in water?

• (1) \( NaCl \)
• (2) \( CaSO_4 \)
• (3) \( BaSO_4 \)
• (4) \( AgCl \)

Which of the following represents the correct IUPAC name for \( CH_3CH_2CH_2OH \)?

• (1) Methanol
• (2) Ethanol
• (3) Propanol
• (4) Butanol

What is the pH of a 0.01 M solution of hydrochloric acid (HCl)?

• (1) 12
• (2) 2
• (3) 7
• (4) 1

Which of the following is the correct hybridization of the central atom in \( CO_2 \)?

• (1) \( sp^3 \)
• (2) \( sp^2 \)
• (3) \( sp \)
• (4) \( dsp^3 \)

Which of the following is the correct value of the molar volume of an ideal gas at standard temperature and pressure (STP)?

• (1) 22.4 L/mol
• (2) 22.8 L/mol
• (3) 24.0 L/mol
• (4) 20.0 L/mol

If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?

• (1) 5
• (2) -5
• (3) 6
• (4) -6

The area of a triangle with base 12 cm and height 5 cm is?

• (1) 30 cm\(^2\)
• (2) 60 cm\(^2\)
• (3) 24 cm\(^2\)
• (4) 12 cm\(^2\)

Find the value of \( \sin 30^\circ + \cos 60^\circ \).

• (1) 1
• (2) \( \frac{\sqrt{3}}{2} \)
• (3) \( \frac{1}{2} \)
• (4) 0

Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).

• (1) \( x = 1, -3 \)
• (2) \( x = 3, -1 \)
• (3) \( x = -3, 1 \)
• (4) \( x = -1, 3 \)

The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?

• (1) 15 years
• (2) 20 years
• (3) 18 years
• (4) 25 years

Find the area of a circle whose radius is 7 cm.

• (1) \( 49\pi \, cm^2 \)
• (2) \( 14\pi \, cm^2 \)
• (3) \( 49 \, cm^2 \)
• (4) \( 154 \, cm^2 \)

Find the value of \( \frac{5}{6} + \frac{3}{4} \).

• (1) \( \frac{19}{12} \)
• (2) \( \frac{14}{12} \)
• (3) \( \frac{13}{12} \)
• (4) \( \frac{8}{12} \)

Find the value of \( \log_2 32 \).

• (1) 5
• (2) 4
• (3) 6
• (4) 3

If \( \sin \theta = \frac{3}{5} \), find the value of \( \cos \theta \).

• (1) \( \frac{4}{5} \)
• (2) \( \frac{2}{5} \)
• (3) \( \frac{3}{5} \)
• (4) \( \frac{1}{5} \)

If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

• (1) 20
• (2) 18
• (3) 15
• (4) 12

Find the value of \( \tan 45^\circ \).

• (1) 1
• (2) \( \sqrt{2} \)
• (3) 0
• (4) \( \frac{1}{\sqrt{2}} \)

Find the value of \( \frac{d}{dx} (3x^2 + 4x + 5) \).

• (1) \( 6x + 4 \)
• (2) \( 6x + 5 \)
• (3) \( 3x + 4 \)
• (4) \( 6x + 3 \)