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
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