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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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a
2.5 S
b
1 S
c
0.5 S
d
0.8 S

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detailed solution

Correct option is C

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

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