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 :
Answer & explanation
Correct answer: option 3
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]