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Q.

The frequency (n) of vibration of a string is given as n=12lTm, where T is tension and l is the length of vibrating string, then the dimensional formula of m is

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a

M0L1T1

b

M0L0T0

c

M1L−1T0

d

M1L0T0

answer is C.

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Detailed Solution

n=12lTm⇒n2=14l2Tm⇒m=T4l2n2=MLT−2L2×T−2=M1L−1T0
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The frequency (n) of vibration of a string is given as n=12lTm, where T is tension and l is the length of vibrating string, then the dimensional formula of m is