Oscillations Ques 3
3. 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 $4 \mathrm{m}$ is suspended from the same spring?
$[1998$ ]
(a) $\frac{n}{4}$
(b) $4 n$
(c) $\frac{n}{2}$
(d) $2 n$
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Answer:
Correct Answer: 3.(c)
Solution: (c) $n=\frac{1}{2 \pi} \sqrt{\frac{k}{m}}$
$ n^{\prime}=\frac{1}{2 \pi} \sqrt{\frac{k}{4 m}}=\frac{1}{2} \times \frac{1}{2 \pi} \sqrt{\frac{k}{m}} $
On putting the value of $\mathrm{n}$ we get $n^{\prime}=\frac{n}{2}$
BETA
