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Question

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 magnitude of summation of powers of M and L in the dimensional formula of m is   


Solution

n=12lTmn2=14l2Tm
m=T4l2n2=[MLT2L2×T2]=[ML1]
 

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