Question

Assertion: The graph of total energy of a particle in SHM with respect to position is a straight line with zero slope.
Reason: Total energy of particle in SHM remains constant throughout its motion.
A. If both assertion and reson are true and reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Answer 1

Correct Answer - A
The total energy of SHM=kinetic energy of particle+potential energy of particle. At mean position the total energy of the particle in SHM is in form of kinetic energy. At extreme position, the total energy of the particle in SHM is in the form of the potential energy. the variation of total energy of the particle in SHM with time is shown in a graph.

Solid line for kinetic energy and dotted line for potential energy. from graph it is clear that total energy remains constant throughout.