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Q.

A metre stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency f0. If the bottom half of the stick were cut off, then its new frequency of small oscillation would become

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a

f0

b

2f0

c

2f0

d

22f0

answer is B.

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Detailed Solution

f0=12πmgLI=12πmgLmL212=12π12gLwhere / is the distance between point of suspension and centre of mass of the body. Thus, for the stick of length L and mass m,f0′=12πmgL4m2(L/2)212=12π24gL=2f0
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