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NEET 1998 (AIPMT) · Spring Systems

Spring Systems question from NEET 1998 (AIPMT)

Q99NEET 1998 · AIPMTEasy

Spring Systems

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 $4m$ is suspended from the same spring?

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Answer: (c)

Spring-mass frequency $n = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$ , so $n \propto \frac{1}{\sqrt{m}}$ .
$\frac{n'}{n} = \sqrt{\frac{m}{4m}} = \frac{1}{2}$
So the answer is (c) $\frac{n}{2}$ .

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