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Two particles A and B execute SHM on a straight line of path length 2 m starting from the two extreme points simultaneously. If their respective time periods are 1 s and 2 s, the minimum time in which they meet isA. `(1)/(4)s`B. `(1)/(3)s`C. `(1)/(2)s`D. `(2)/(5)s` |
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Answer» Correct Answer - B `y_(1)=y_(2)` `Asin(omega_(1)t+(pi)/(2))=Asin(omega_(2)t-(pi)/(2))` `cosomega_(1)t=-cosomega_(2)t` `cosomega_(1)t=cos(pi-omega_(2)t)` `omega_(1)t=pi-omega_(2)t` `t=(pi)/(omega_(1)+omega_(2))` `omega_(1)=(2pi)/(T_(1))=2pis,omega_(2)=(2pi)/(2)=pis` `t=(pi)/(2pi+pi)=(1)/(3)s`. |
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