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A particle is executing SHM of periodic time T the time taken by a particle in moving from mean position to half the maximum displacement is `(sin 30^(@)=0.5)`A. `(T)/(2)`B. `(T)/(4)`C. `(T)/(8)`D. `(T)/(12)` |
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Answer» Correct Answer - d If the paritcle at t=0 s is at mean position the maximum displacement is given by `x=A sin (2pit)/(T)` if it takes time `t_(1)` to move from mean position to half the displacement then `(A)/(2)=A "sin "(2pit)/(T)` or `1/2 =" sin "(2pit)/(T)` or `"sin "(pi)/(6)=sin (2pit)/(T)` or ` (pi)/(6)=(2pit)/(T)` `rarr t=(T)/(12)s` |
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