1.

The frequency of vibration of string is given by \[\nu =\frac{p}{2l}{{\left[ \frac{F}{m} \right]}^{1/2}}\]. Here p is number of segments in the string and l is the length. The dimensional formula for m will be [BHU 2004]

A.             \[[{{M}^{0}}L{{T}^{-1}}]\]
B.                      \[[M{{L}^{0}}{{T}^{-1}}]\]
C.             \[[M{{L}^{-1}}{{T}^{0}}]\]
D.                      \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]
Answer» D.                      \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]


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