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Representation of Sound Waves

Why is the di...

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Why is the dimensional formula of frequency [T^-1]

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Q. The frequency (n) of vibration of a string is given as

n = \frac{1}{2 l} \sqrt{\frac{T}{m}}

, where T is tension and l is the length of vibrating string, then the dimensional formula is

M L^{- 1} T^{- 2}

is the dimensional formula of

[M L T^{- 1}]

is dimensional formula of

Q. The frequency of vibration of a string is given by

f = \frac{n}{2 L} \sqrt{\frac{T}{m}}

T

is tension in the string,

L

n

is number of harmonics. The dimensional formula for

m

Q. The dimensional formula

M^{- 1} L^{3} T^{- 2}

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