Question

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same,then,

• A. Total energy is quadrapled
• B. line of total energy is shifted along y axis
• C. There is no change in the graph of velocity vs time
• D. none of the above

Answer 1

Answer: (A)

Total energy is quadrapled

Frequency ($n$) of a body moving with simple harmonic motion is doubled.
Therefore angular frequency $\omega =2\pi n$ is also doubled.
Total energy in SHM $=$ Kinetic energy $+$ Potential energy $=$ $\frac{m{\omega }^2{a}^2}{2}$
$m$ is the mass and $a$ is the amplitude. $a$ remaining unchanged , then the total energy would quadruple.
Option A is correct.