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New maximum velocity when the amplitude is doubled and the period made one third

The same question, asked 2 times: 10 May 2023 S1, 9 May 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2023 S1

    1
    A particle performing S.H.M. with maximum velocity 'V'. If the amplitude doubles and periodic time is made 13\frac{1}{3}rd, then the maximum velocity is

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  2. Question 2

    9 May 2024 S1

    33
    The maximum velocity of a particle performing S.H.M. is 'VV'. If the periodic time is made 13\frac{1}{3}rd and the amplitude is doubled, then the new maximum velocity of the particle will be

    Tap an option to check your answer.