Student Login

Home›Chapters›Oscillations PYQs›Energy in SHM›Question 36

MHT CET 2023 (10 May, Shift 1) · Energy in SHM

Energy in SHM question from MHT CET 2023 (10 May, Shift 1)

Q36MHT CET 2023 · 10 MAY · SHIFT 1Easy

Energy in SHM

The amplitude of a particle executing S.H.M. is $3\text{ cm}$ . The displacement at which its kinetic energy will be $25\%$ more than the potential energy is

Show answer and solution

Answer: (b)

$KE = 1.25\,PE \Rightarrow A^2 - x^2 = 1.25x^2$
$2.25x^2 = 9 \Rightarrow x = 2\text{ cm}$
So the answer is (b) 2 cm.

Report a mistake

More questions on Energy in SHM

A particle is vibrating in S.H.M. with an amplitude of 4 cm. At what displacement from…MHT CET 2023 (9 May, Shift 2)
A particle executes SHM of amplitude A. The distance from the mean position when its…JEE Main 2023 (13 Apr, Shift 2)
A particle is executing simple harmonic motion (SHM). The ratio of potential energy and…JEE Main 2023 (12 Apr, Shift 1)
The maximum potential energy of a block executing simple harmonic motion is 25 J. A is…JEE Main 2023 (31 Jan, Shift 1)
The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic…JEE Main 2023 (1 Feb, Shift 1)
Which graph represents the difference between total energy and potential energy of a…JEE Main 2023 (13 Apr, Shift 1)
The variation of kinetic energy (KE) of a particle executing simple harmonic motion with…JEE Main 2023 (11 Apr, Shift 1)
A body is executing a linear S.H.M. Its potential energies at the displacement ' x ' and…MHT CET 2023 (10 May, Shift 2)