Practicing Success
The frequency (n) of vibration of a string is given as n = \(\frac{1}{2l}\sqrt{\frac{T}{m}}\), where T is tension and l is the length of vibrating string, then the dimensional formula of m is : |
[M0L1T1] [M0L0T0] [M1L-1T0] [M1L0T0] |
[M1L-1T0] |
n = \(\frac{1}{2l}\sqrt{\frac{T}{m}}\) n2 = \(\frac{1}{4l^2}\frac{T}{m}\) m = \(\frac{1}{4l^2}\frac{T}{n^2}\) m = [\(\frac{MLT^{-2}}{L^2 T^{-2}}\)] m = [ML-1]
|