Question

The frequency of vibration (v) of a string may depend upon length (L) of the
string, tension (T) in the string and mass per unit length (m) of the string. Using the method of
dimensions, derive the formula for v.​

Answer 1

Answer:

v Directonally Proposional L x T x M

v = k. L. T. M(where k is a dimensionless constant)

taking the dimension

M^0L^0T^-1= L^a . T^b . M^c

a= 0 b= -1 c= 0

v = T^-1

v = 1/T

Answer 2

Answer:

Explanation:

M^0L^0T^-1= L^a . T^b . M^c

a= 0 b= -1 c= 0

v = T^-1

v = 1/T