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Q.

Two particles A and B of equal masses are suspended from two mass less springs of spring constant k1 and k2  respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is

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a

k1k2

b

k1k2

c

k2k1

d

k2k1

answer is D.

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Detailed Solution

In S.H.M. Vmax=ωa  For particle A, v1=ω1a1 For particles B v2=ω2a2 Given that v1=v2  or  Ï‰1a1=ω2a2 a1a2=ω2ω1=T1T2 âˆµÏ‰=2πT The time period of a spring is given by T=2πMk  or  T∝1k a1a2=k2k1
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