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MHT CET 2023 (11 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2023 (11 May, Shift 2)

Q51MHT CET 2023 · 11 MAY · SHIFT 2Medium

Spring Systems

The upper end of the spring is fixed and a mass ' $m$ ' is attached to its lower end. When mass is slightly pulled down and released, it oscillates with time period 3 second. If mass ' $m$ ' is increased by $1\text{ kg}$ , the time period becomes 5 second. The value of ' $m$ ' is (mass of spring is negligible)

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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) $\frac{9}{16}$ kg.

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