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Day 69: MHT-CET Physics

5 questions. Try each one first, then open its answer.

  1. Question 1

    Superposition of Waves. Asked 3 times: 15 Apr 2026 S1*, 12 May 2026 S2, 19 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    122
    A sonometer wire resonates with a given tuning fork, forming standing waves with five antinodes between the two bridges, when a mass of 99 kg is suspended from the wire. When this mass is replaced by mass MM, the wire resonates with the same tuning fork, forming three antinodes for the same positions of the bridges. The value of MM (in kg) is

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  2. Question 2

    Thermal Properties of Matter. Asked 3 times: 4 May 2023 S2*, 10 May 2023 S1*, 19 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    104
    A lead bullet moving with velocity 'vv' strikes a wall and stops. 75%75\% of its energy is converted into heat. If the increase in the temperature is v2nJs\dfrac{v^2}{nJs}, then the value of nn is {s=specific heat of lead,J=mechanical equivalent of heat}\{s = \text{specific heat of lead}, J = \text{mechanical equivalent of heat}\}

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  3. Question 3

    AC Circuits. Asked 3 times: 11 May 2024 S2, 26 Apr 2025 S1*, 19 May 2026 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    136
    In a discharging series L-C-R circuit, C=2 μFC = 2\ \mu\mathrm{F}, L=1 mHL = 1\ \mathrm{mH} and R=10 ΩR = 10\ \Omega. The ratio of the energies stored in the inductor and in the capacitor, when the maximum current flows in the circuit, is

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  4. Question 4

    Electrostatics. Asked 3 times: 22 Apr 2025 S2, 11 Apr 2026 S2, 19 May 2026 S1 See all 3 times it was asked

    128
    Consider the earth to be a sphere, having charge QQ. Let RR, VV and AA be its radius, volume and area respectively. The capacitance of the earth is [ε0\varepsilon_0 = permittivity of free space]

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  5. Question 5

    Oscillations. Asked 3 times: 26 Apr 2025 S2*, 16 Apr 2026 S2*, 15 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    119
    A horizontal spring executes S.H.M. with amplitude A1A_1 when mass mm is attached to it. When it passes through mean position another mass mm is placed on it. Both masses move together with amplitude A2A_2. The ratio A1A2\dfrac{A_1}{A_2} is

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