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Q.

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is
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a

12πk2M

b

12π2kM

c

12πkMgsin a

d

12π2kMgsin a

answer is C.

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Detailed Solution

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The two springs are in parallel, so the effective spring constant is
Keq=K1+K2=K+K=2K
The period of oscillation,
T=2πmKeq=2πm2K
Frequency of oscillation, f=1T=12π2Km
 

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