Oscillations

JEE Main level, single correct, medium

184 of 194

Question 184 of 194

If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

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Answer: (B) T/n\mathrm{T} / \sqrt{\mathrm{n}}

Spring constant becomes nn times for each piece. T=2πm/kT=2 \pi \sqrt{\mathrm{m} / \mathrm{k}}
T1T2=nKK or T2=T/n\frac{T_1}{T_2}=\frac{\sqrt{n K}}{K} \text { or } T_2=T / \sqrt{n}

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