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Question

Check the correctness of equation
v=12lTM

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Solution

ν=12lTM
Where T Tension.
m= Mass per unit Length.
l=Length.
ν= Frequency.
Dimension of T=[MLT2]
Dimension of m=[ML1]
Dimension of l=[L]
Dimension of ν=[T1]
L.H.S Should be equal to R.H.S
L.H.S=[T1]
R.H.S =M12L12T1M12L12L
=T1L12L12
L.H.S = R.H.S

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