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A spring has time period T with a given mass. If the spring is cut into n equal parts, the time period of the same mass on each part will be

Asked in JEE Main 2002 · Spring combinations

Answer: (2) T/(√n)

Step-by-step solution

The force constant is inversely proportional to the length, so each of the n parts has constant nk.

T∝1/(√k), so the new period is T/(√n).

Why the other options are wrong

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