Two identical point masses P and Q , suspended from two separate massless springs of spring constants k _1 and k _2, respectively, oscillate vertically. If their maximum speeds are the same, the ratio (A_Q / A_P ) of the amplitude A_Q of mass Q to the amplitude A_P of mass P is :

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Correct answer: D. k _1 k _2

aligned & Given m _ P = m _ Q \ & Also ( V _ )_ P = ( V _ )_ Q \ & A _ P _ P = A _ Q _ Q \ & A _ P k _1 ~m _ P = A _ Q k _2 ~m _ Q [ = k m ] \ & A _ Q A _ P = k _1 k _2 aligned

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