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Q.

The frequency of vibration of string is given by f=p2lFm1/2. Here, p is number of segments in the string and l is the length. The dimensional formula for m will be

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a

M0LT-1

b

ML0T-1

c

ML-1T0

d

M0L0T0

answer is C.

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Detailed Solution

Given,  f=p2lFm1/2Squaring the equation on either side, we havef2=p24l2Fm⇒m=p2F4l2f2[m]=MLT-2L2T-12=ML-1 T0
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The frequency of vibration of string is given by f=p2lFm1/2. Here, p is number of segments in the string and l is the length. The dimensional formula for m will be