MHT-CET 2021 previous year paper practice · PYQ-pattern set

MHT-CET 2021 PYQ-pattern questions

Showing 10 of the 16 PYQ-pattern questions in this set — freshly worded in that year's pattern, not the original questions. Answers and solutions open under each question.

1. Q1 · Motion in a Straight Line and Plane (Class 11 — ~20% weight)

   A projectile is fired at an angle of 30° with the horizontal with speed 40 m/s. The maximum height reached by the projectile is: (Take g = 10 m/s²)

   • A. 20 m
   • B. 40 m
   • C. 10 m
   • D. 80 m
   Answer and solution

   Answer: A

   Maximum height H = (u²sin²θ)/(2g) = (40² × sin²30°)/(2 × 10) = (1600 × 0.25)/20 = 20 m.

2. Q2 · Mechanical Properties of Fluids (Class 12)

   A rectangular block of mass 400 g and cross-sectional area 40 cm² floats on a liquid of density 1.2 g/cm³. When displaced vertically and released, it oscillates with frequency n. What is n? (g = 10 m/s²)

   • A. 0.5 Hz
   • B. 1.0 Hz
   • C. 1.5 Hz
   • D. 2.0 Hz
   Answer and solution

   Answer: C

   k = ρAg = 1200×0.004×10 = 48 N/m; ω = √(k/m) = √(48/0.4) = √120 ≈ 10.95 rad/s; n = ω/2π ≈ 1.74 Hz, closest to 1.5 Hz.

3. Q3 · Oscillations (Class 11 — ~20% weight)

   A spring with force constant 200 N/m is compressed by 5 cm. What is the potential energy stored in the spring?

   • A. 0.25 J
   • B. 0.50 J
   • C. 0.75 J
   • D. 1.00 J
   Answer and solution

   Answer: A

   Potential energy U = (1/2)kx² = 0.5 × 200 × (0.05)² = 0.5 × 200 × 0.0025 = 0.25 J.

4. Q4 · Electromagnetic Induction (Class 12)

   Two coils have mutual inductance of 0.02 H. The current in the first coil varies as I = 4 sin 100πt ampere. The maximum value of emf induced in the second coil is

   • A. 4π V
   • B. 8π V
   • C. 2π V
   • D. 6π V
   Answer and solution

   Answer: B

   Maximum emf = M × (dI/dt)max = M × I₀ω = 0.02 × 4 × 100π = 8π V.

5. Q5 · Current Electricity (Class 12)

   A galvanometer of resistance 50 Ω gives full scale deflection for a current of 0.002 A. The value of shunt resistance required to convert it into an ammeter of range 0.1 A is

   • A. 1.02 Ω
   • B. 0.51 Ω
   • C. 2.04 Ω
   • D. 0.25 Ω
   Answer and solution

   Answer: A

   Shunt S = (Ig × G)/(I - Ig) = (0.002 × 50)/(0.1 - 0.002) = 0.1/0.098 ≈ 1.02 Ω.

6. Q6 · Semiconductor Electronics (Class 12)

   For a transistor amplifier in common emitter configuration, if the current gain β is 100 and the base current changes by 5 μA, what is the change in collector current?

   • A. 50 μA
   • B. 250 μA
   • C. 500 μA
   • D. 750 μA
   Answer and solution

   Answer: C

   Change in collector current ΔIᶜ = β × ΔIᵦ = 100 × 5 μA = 500 μA.

7. Q7 · States of Matter (Class 11 — ~20% weight)

   At constant temperature, if the volume of a gas is doubled, what happens to its pressure according to Boyle's law?

   • A. Pressure doubles
   • B. Pressure remains the same
   • C. Pressure becomes half
   • D. Pressure becomes one-fourth
   Answer and solution

   Answer: C

   By Boyle's law, P ∝ 1/V at constant temperature, so doubling V halves P.

8. Q8 · Solid State (Class 12)

   A face-centered cubic (fcc) unit cell contains atoms at all corner and face-center positions. What is the total number of atoms per unit cell?

   • A. 2
   • B. 3
   • C. 4
   • D. 6
   Answer and solution

   Answer: C

   Corner atoms: 8 × (1/8) = 1, Face-center atoms: 6 × (1/2) = 3. Total atoms per fcc unit cell = 1 + 3 = 4.

9. Q9 · Coordination Compounds (Class 12)

   What is the coordination number of the central metal ion in [Ni(CO)₄]?

   • A. 2
   • B. 3
   • C. 4
   • D. 6
   Answer and solution

   Answer: C

   In [Ni(CO)₄], nickel is surrounded by four carbonyl ligands (CO), each acting as a monodentate ligand, giving a coordination number of 4.

10. Q10 · Surface Chemistry (Class 12)

    Which nanoparticle is commonly used for antibacterial coating on water filter materials?

    • A. Gold nanoparticles
    • B. Silver nanoparticles
    • C. Copper nanoparticles
    • D. Platinum nanoparticles
    Answer and solution

    Answer: B

    Silver nanoparticles exhibit strong antibacterial properties and are widely used to coat filter materials for effective bacterial disinfection in water purification systems.