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Questions  

A particle executing S.H.M. of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is

a
1 sec
b
13sec
c
23sec
d
32 sec

detailed solution

Correct option is C

Equation of motion y = a cos ωt⇒ a2 = a cos ωt  ⇒cos ωt = 12  ⇒ωt =π3  ⇒ 2πtT = π3   ⇒ t = π3×T2π = 43×2 = 23sec

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