Question

A particle of mass 10 gm lies in a potential field $V=50x^2+100$. The value of frequency of oscillations in Hz is

• A. 5 Hz
• B.
• C.
• D. $\frac{20\pi }{3}$ Hz

Answer 1

The correct option is B

$\frac{1}{2}m{w}^2=50\Rightarrow m{w}^2=100$

$w^2=\frac{100}{{10}^{-2}}={10}^4\Rightarrow w={10}^2$

$=2\pi f=100\Rightarrow f=\frac{100}{2\pi }=\frac{50}{\pi }$