PYQ Vault

Spring constant and period when a spring is cut

This type of question, asked 3 times: 2 May 2023 S2, 9 May 2024 S2, 13 May 2024 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2 May 2023 S2

    28
    A spring has a certain mass suspended from it and its period of vertical oscillations is T1T_1. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T2T_2. The ratio T2/T1T_2/T_1 is

    Tap an option to check your answer.

  2. Question 2

    9 May 2024 S2

    27
    A spring has a certain mass suspended from it and its period for vertical oscillations is T1T_1. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T2T_2. The ratio T1/T2T_1/T_2 is

    Tap an option to check your answer.

  3. Question 3

    13 May 2024 S2

    48
    A simple spring has length 'll' and force constant 'KK'. It is cut into two springs of length l1l_1 and 'l2l_2' such that l1=nl2l_1=nl_2 (nn is an integer). The force constant of spring of length 'l1l_1' is

    Tap an option to check your answer.