A particle is oscillation along a straight line with a constant energy of oscillations when amplitude of its oscillation is 2 mm, time period of oscillation is 0.2 second what will be the time period of oscillation of the particle when amplitude of oscillation is 5 mm?

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2.5 S

1 S

0.5 S

0.8 S

answer is C.

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Detailed Solution

E=12mω2A2=12m(2πT)2A2⇒T2=(2π2mE)A2⇒TαA∴ T10.2=52⇒T1=0.5 S

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