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 reason 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

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.