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Question

Physics Question on Oscillations

Select the correct graph showing the difference (d) between total energy and potential energy of a particle in linear SHM with position x of the particle (x = 0 is the mean position)

A

the difference d between total energy and potential energy of a particle in linear SHM

B

the difference d between total energy and potential energy of a particle in linear SHM

C

the difference d between total energy and potential energy of a particle in linear SHM

D

the difference d between total energy and potential energy of a particle in linear SHM

Answer

the difference d between total energy and potential energy of a particle in linear SHM

Explanation

Solution

The correct option is (A):
the difference d between total energy and potential energy of a particle in linear SHM

d=T.E-P.E

=K.E(\because the total energy is conserved)

=12mω2(A2x2)=\frac{1}{2}m\omega^2(A^2-x^2)