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Energy of a simple pendulum from its mass, length and amplitude

This type of question, asked 7 times: 11 May 2023 S1, 16 May 2023 S1, 19 Apr 2025 S2, 25 Apr 2025 S2, 26 Apr 2025 S1, 12 May 2026 S2, 15 May 2026 S1. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    11 May 2023 S1

    8
    A simple pendulum of length 'L' has mass 'M' and it oscillates freely with amplitude 'A'. At extreme position, its potential energy is

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  2. Question 2

    16 May 2023 S1

    48
    A simple pendulum of length L has mass m and it oscillates freely with amplitude A. At extreme position, its potential energy is (g=g = acceleration due to gravity)

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  3. Question 3

    19 Apr 2025 S2

    43
    If the length of the oscillating simple pendulum is made 13\frac{1}{3} times the original keeping amplitude same then increase in its total energy at a place will be

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  4. Question 4

    25 Apr 2025 S2

    13
    Two simple pendulums have first (A) bob of mass ' M1M_{1} ' and length ' L1L_{1} ', second (BB) of mass ' M2M_{2} ' and length ' L2L_{2} '. M1=M2M_{1}=M_{2} and L1=2 L2L_{1}= 2{\text{ }L}_{2}. If their total energies are same then the correct statement is

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  5. Question 5

    26 Apr 2025 S1

    9
    At a place, the length of the oscillating simple pendulum is made 14\frac{1}{4} times keeping amplitude same then the total energy will be

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  6. Question 6

    12 May 2026 S2

    119
    If length of oscillating simple pendulum is made (13)\left(\dfrac{1}{3}\right) times at a place keeping amplitude same then its total energy will be

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  7. Question 7

    15 May 2026 S1

    118
    Two simple pendulums, A of mass M1M_1 and length L1L_1, and B of mass M2M_2 and length L2L_2. M1=M2M_1 = M_2 and L1=2L2L_1 = 2L_2. If vibrational energies of both are same then which one of the following is correct?

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