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Question: A particle of mass 200 gm executes S.H.M. The restoring force is provided by a spring of force const...

A particle of mass 200 gm executes S.H.M. The restoring force is provided by a spring of force constant 80 N/m. The time period of oscillations is

A

0.31 sec

B

0.15 sec

C

0.05 sec

D

0.02 sec

Answer

0.31 sec

Explanation

Solution

T=2πmk=2π0.280=2π20=0.31secT = 2\pi\sqrt{\frac{m}{k}} = 2\pi\sqrt{\frac{0.2}{80}} = \frac{2\pi}{20} = 0.31\sec.