Q67 / 90 · JEE Main 2023 (13 Apr Shift 1) · Physics

Which graph represents the difference between total energy and potential energy of a particle executing $SHM$ vs its distance from mean position?

A
Correct answer
B
C
D

Solution

In a SHM, mechanical energy is conserved. So, the sum of kinetic energy and potential energy remains constant.
For a SHM,
$T . E . - U = K . E$
$\Rightarrow T . E . - U = \frac{1}{2} m v^{2} = \frac{1}{2} m ω^{2} (A^{2} - x^{2})$
This is the equation of a downward parabola.

Hence, the correct answer is option: 'B'.

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Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean position?

Solution

Relevant Questions

Which graph represents the difference between total energy and potential energy of a particle executing $SHM$ vs its distance from mean position?