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Q.

A body of mass 20 g connected to spring of constant k executes simple harmonic motion with a frequency of 5πHz. The value of spring constant (in SI unit) is

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answer is 2.

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Detailed Solution

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Mass (m)=20 g=0.02 kg

Frequency (f)=5πHz

Time period of a loaded spring T=2πmk 

Frequency (f)=12πkm

5π=12πk0.02 Or 10=k0.02 Or 100=k0.02

∴k=2Nm-1

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