Question

A mass $m$ is vertically suspended from a spring of negligible mass; the system oscillates with a frequency $n$. What will be the frequency of the system, if a mass $4\, m$ is suspended from the same spring?

• A. $ \frac{ n}{ 2}$
• B. $4 n$
• C. $ \frac{ n}{ 4} $
• D. $2n$

Answer 1

Answer: (A)

$n=\frac{1}{2 \pi} \sqrt{\frac{k}{m}} ; n^{\prime}=\frac{1}{2 \pi} \sqrt{\frac{k}{4 m}}$
$\therefore n^{\prime}=n / 2$