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Q.

A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance x. Now the combined mass will oscillate on the spring with period

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a

T=2πmg/x(M+m)

b

T=2π(M+m)x/mg

c

T=(π/2)mg/x(M+m)

d

T=2π(M+m)/mgx

answer is B.

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Detailed Solution

As mg produces extension x, hence  k=mgx∴T=2π(M+m)k=2π(M+m)xmg
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