Question

Assertion : The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason : Potential energy and kinetic energy do not vary linearly with position.

• 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: (B)

Both assertion and reason are true but reason is not the correct explanation of assertion.
$P.E.=\frac{1}{2}m{\omega }^2{y}^2$ and $K.E.=\frac{1}{2}m{\omega }^2\left(a^2-y^2\right).$
The variation of both potential energy and kinetic energy is proportional to $y^2$. Therefore displacement versus P.E. or K.E. graph is a parabola (because parabolic equation is $z=4a{u}^2$).