Oscillations

JEE Main level, single correct, medium

163 of 194

Question 163 of 194

Two particles AA and BB of equal masses are suspended from two massless springs of spring constants K1{K}_{1} and K2{K}_{2} respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of AA and BB is

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Answer: (D) K2K1\sqrt{\dfrac{{K}_{2}}{{K}_{1}}}

A1ω1=A2ω2{A}_{1}{\omega }_{1}={A}_{2}{\omega }_{2}
A1k1m=A2k2m{A}_{1}\sqrt{\dfrac{{k}_{1}}{m}}={A}_{2}\sqrt{\dfrac{{k}_{2}}{m}}
A1A2=k2k1\dfrac{{A}_{1}}{{A}_{2}}=\sqrt{\dfrac{{k}_{2}}{{k}_{1}}}

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