Displacement at which kinetic and potential energy are in a given ratio, or the ratio at a given displacement
This type of question, asked 10 times: 9 May 2024 S2, 10 May 2024 S1, 11 May 2024 S1, 22 Apr 2025 S1, 23 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S1, 17 Apr 2026 S2, 20 Apr 2026 S2. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
9 May 2024 S2
42A particle is vibrating in S.H.M. with an amplitude of 4 cm. At what displacement from the equilibrium position is its energy half potential and half kinetic?Tap an option to check your answer.
Question 2
10 May 2024 S1
3The amplitude of a particle executing S.H.M. is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy isTap an option to check your answer.
Question 3
11 May 2024 S1
4For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at certain displacement from the mean position. If is the amplitude of S.H.M the value of isTap an option to check your answer.
Question 4
22 Apr 2025 S1
45For a particle performing S.H.M., the total energy is ' ' times the kinetic energy, when the displacement of a particle from mean position is , where A is the amplitude of S.H.M. The value of ' ' isTap an option to check your answer.
Question 5
23 Apr 2025 S1
31A particle is executing linear S.H.M. starting from mean position. The ratio of the kinetic energy to the potential energy of the particle at a point of half the amplitude isTap an option to check your answer.
Question 6
13 Apr 2026 S2
120The amplitude of a particle executing SHM is cm. The displacement at which its kinetic energy will be more than the potential energy is (in cm)Tap an option to check your answer.
Question 7
16 Apr 2026 S2
119The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplitude A/2 isTap an option to check your answer.
Question 8
17 Apr 2026 S1
119For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '' from the mean position. If '' is the amplitude of S.H.M., the value of '' isTap an option to check your answer.
Question 9
17 Apr 2026 S2
120For a particle performing linear S.H.M. of amplitude 'r', the potential energy is '' times its total energy. The displacement of particle isTap an option to check your answer.
Question 10
20 Apr 2026 S2
119For a particle executing S.H.M., the potential energy is times the kinetic energy when its displacement from mean position is , where is the amplitude of S.H.M. The value of isTap an option to check your answer.