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Period of a spring-mass system when the mass is changed

This type of question, asked 7 times: 4 May 2023 S2, 11 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 20 Apr 2025 S2, 21 Apr 2025 S1, 17 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    4 May 2023 S2

    40
    A mass 'm' attached to a spring oscillates with a period of 3 second. If the mass is increased by 0.6 kg, the period increases by 3 second. The initial mass 'm' is equal to

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  2. Question 2

    11 May 2024 S2

    21
    The upper end of the spring is fixed and a mass 'm' is attached to its lower end. When mass is slightly pulled down and released, it oscillates with time period 3 second. If mass 'm' is increased by 1 kg, the time period becomes 5 second. The value of 'm' is (mass of spring is negligible)

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  3. Question 3

    14 May 2024 S2

    14
    A light spring is suspended with mass m1m_1 at its lower end. The mass is pulled down a short distance and released; the period is TT. When a mass m2m_2 is added, the period is 32T\frac{3}{2}T. The ratio m1:m2m_1 : m_2 is

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  4. Question 4

    20 Apr 2025 S1

    23
    If the period of a oscillation of mass ' mm ' suspended from a spring is 2 s , then the period of suspended mass ' 4 m ' with the same spring will be

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  5. Question 5

    20 Apr 2025 S2

    38
    A mass xx gram is suspended from a light spring. It is pulled in downward direction and released so that mass performs S.H.M. of period T. If mass is increased by Y gram, the period becomes 4 T3\frac{4\text{ }T}{3}. The ratio of Y/xY/x is

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  6. Question 6

    21 Apr 2025 S1

    9
    A mass mm is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes S.H.M. of time period T. If the mass is increased by m0m_{0}, the periodic time becomes 5 T4\frac{5\text{ }T}{4}. The ratio m0M\frac{m_{0}}{M} is

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  7. Question 7

    17 Apr 2026 S2

    119
    A light spring is suspended with mass 'm1m_1' at its lower end and its upper end is fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is T second. When a mass 'm2m_2' is added to 'm1m_1' and the system is made to oscillate the period is found to be 32\dfrac{3}{2} T. The ratio (m1m2)\left(\dfrac{m_1}{m_2}\right) is

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