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Period or frequency of a magnet oscillating in a magnetic field

This type of question, asked 4 times: 2 May 2023 S1, 20 Apr 2025 S2, 19 Apr 2026 S1, 20 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    2 May 2023 S1

    50
    At a certain place a magnet makes 30 oscillations per minute. At another place if the magnetic induction is increased by two times the magnetic induction at first place, then the time period of same magnet will be

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  2. Question 2

    20 Apr 2025 S2

    32
    Two bar magnets A and B are geometrically similar, but the magnetic moment of A is twice that of B.T1B.T_{1} is the time period of oscillation when their like poles are kept together. When unlike poles are kept together, the time period of oscillation is T2T_{2}. The ratio T1:T2T_{1}:T_{2} will be

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  3. Question 3

    19 Apr 2026 S1

    131
    The frequency of oscillation of a small magnet in a magnetic field of induction 'B' is 'nn'. If the frequency of oscillations of the same magnet in a field of induction 'X' falls to (n3)\left(\dfrac{n}{3}\right), the value of 'X' is

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  4. Question 4

    20 Apr 2026 S1

    131
    The periodic time of a magnet in vibration magnetometer is T0T_0. If a magnet is replaced by another magnet whose moment of inertia is three times and magnetic moment is one-third of the original magnet, then time period of new magnet will be

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