MHT CET 2025 22 April Shift 2 Question Paper (Available): Download Question Paper (PCM) with Answers PDF

A ball is thrown vertically upwards with an initial velocity of \( 20 \, m/s \). How high will the ball rise? (Take \( g = 10 \, m/s^2 \))

• (1) \( 20 \, m \)
• (2) \( 40 \, m \)
• (3) \( 10 \, m \)
• (4) \( 25 \, m \)

What is the resistance of a wire of length \( L = 2 \, m \) and cross-sectional area \( A = 1 \times 10^{-6} \, m^2 \) made of a material with resistivity \( \rho = 1.5 \times 10^{-7} \, \Omega \, m \)?

• (1) \( 3 \times 10^{-7} \, \Omega \)
• (2) \( 3 \times 10^{-6} \, \Omega \)
• (3) \( 2 \times 10^{-7} \, \Omega \)
• (4) \( 5 \times 10^{-6} \, \Omega \)

A lens has focal length \( f = 20 \, cm \). What is the power of the lens?

• (1) \( +5 \, D \)
• (2) \( +10 \, D \)
• (3) \( -5 \, D \)
• (4) \( -10 \, D \)

A sound wave has a frequency of \( 440 \, Hz \). What is its time period?

• (1) \( 0.00227 \, s \)
• (2) \( 0.002 \, s \)
• (3) \( 0.0025 \, s \)
• (4) \( 0.004 \, s \)

What is the kinetic energy of a body of mass \( 2 \, kg \) moving with a velocity of \( 5 \, m/s \)?

• (1) \( 25 \, J \)
• (2) \( 10 \, J \)
• (3) \( 50 \, J \)
• (4) \( 5 \, J \)

A capacitor has a capacitance of \( 5 \, muF \) and a potential difference of \( 10 \, V \) is applied across it. What is the charge on the capacitor?

• (1) \( 5 \times 10^{-5} \, C \)
• (2) \( 5 \times 10^{-6} \, C \)
• (3) \( 5 \times 10^{-7} \, C \)
• (4) \( 5 \times 10^{-8} \, C \)

A stone is thrown horizontally from the top of a tower with a speed of \( 10 \, m/s \). If the height of the tower is \( 45 \, m \), how much time will the stone take to reach the ground?

• (1) \( 3 \, s \)
• (2) \( 4 \, s \)
• (3) \( 5 \, s \)
• (4) \( 2 \, s \)

A current of \( 2 \, A \) flows through a conductor for 10 minutes. What is the total charge that flows through the conductor?

• (1) \( 1200 \, C \)
• (2) \( 1000 \, C \)
• (3) \( 200 \, C \)
• (4) \( 1500 \, C \)

An object is placed at a distance of 10 cm from a concave mirror of focal length 15 cm. What is the image distance?

• (1) \( 30 \, cm \)
• (2) \( 20 \, cm \)
• (3) \( 50 \, cm \)
• (4) \( 60 \, cm \)

What is the molecular mass of \( Na_2SO_4 \)?

• (1) \( 142 \, g/mol \)
• (2) \( 120 \, g/mol \)
• (3) \( 158 \, g/mol \)
• (4) \( 98 \, g/mol \)

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

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

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

• (1) \( 2 \)
• (2) \( 4 \)
• (3) \( 1 \)
• (4) \( 3 \)

What is the empirical formula of \( C_6H_6 \)?

• (1) \( CH \)
• (2) \( C_2H_3 \)
• (3) \( C_3H_3 \)
• (4) \( C_6H_6 \)

Which of the following ions will have the highest lattice energy?

• (1) \( NaCl \)
• (2) \( MgO \)
• (3) \( KCl \)
• (4) \( LiF \)

The oxidation number of chlorine in \( Cl_2 O \) is:

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

What is the molar concentration of hydrogen ions in a solution of \( 0.1 \, M \) \( HCl \)?

• (1) \( 0.1 \, M \)
• (2) \( 0.05 \, M \)
• (3) \( 0.2 \, M \)
• (4) \( 1 \, M \)

Which of the following gases has the highest density at STP?

• (1) \( CO_2 \)
• (2) \( O_2 \)
• (3) \( N_2 \)
• (4) \( CH_4 \)

If \( x = 2 \), what is the value of \( 3x^2 - 5x + 7 \)?

• (1) \( 9 \)
• (2) \( 7 \)
• (3) \( 8 \)
• (4) \( 10 \)

Find the sum of the roots of the quadratic equation \( 2x^2 - 5x + 3 = 0 \).

• (1) \( \frac{5}{2} \)
• (2) \( \frac{3}{2} \)
• (3) \( \frac{7}{2} \)
• (4) \( \frac{1}{2} \)

Find the area of a triangle with base 8 cm and height 6 cm.

• (1) \( 24 \, cm^2 \)
• (2) \( 28 \, cm^2 \)
• (3) \( 48 \, cm^2 \)
• (4) \( 36 \, cm^2 \)

If \( f(x) = 2x^2 - 3x + 5 \), find \( f(3) \).

• (1) \( 16 \)
• (2) \( 18 \)
• (3) \( 20 \)
• (4) \( 19 \)

Solve for \( x \) in the equation \( 2x - 3 = 5x + 12 \).

• (1) \( x = -5 \)
• (2) \( x = 5 \)
• (3) \( x = -6 \)
• (4) \( x = 6 \)

Find the area of a circle with radius 7 cm.

• (1) \( 154 \, cm^2 \)
• (2) \( 49 \, cm^2 \)
• (3) \( 22 \, cm^2 \)
• (4) \( 44 \, cm^2 \)