Question

If a spring balance having frequency $f$ is taken on moon (having $g^{\prime }=g/6$) it will have a frequency of

• A. $6f$
• B. $f/6$
• C. $\sqrt{6f}$
• D. $\frac{1}{\sqrt{6}}$

Answer 1

The correct option is D $\frac{1}{\sqrt{6}}$

$\begin{array}{c}T=2\pi \sqrt{\frac{L}{g}}\\ f=\frac{1}{T},f=\frac{t}{2\pi }\sqrt{\frac{g}{L}}\\ onmoon\\ f=\frac{1}{2\pi }\sqrt{\frac{g}{6L}},\end{array}$

frequency is decreases by $\frac{1}{\sqrt{6}}$ times.