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NEET 2016 (Phase 2) · Spring Systems

Spring Systems question from NEET 2016 (Phase 2)

Q87NEET 2016 · PHASE 2Medium

Spring Systems

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is

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Answer: (d)

$T \propto \sqrt{m}$ : $\left(\frac{5}{3}\right)^2 = \frac{m+1}{m}$ .
$25m = 9m + 9 \Rightarrow m = \frac{9}{16}\text{ kg}$
So the answer is (d) $\frac{9}{16}$ .

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