Chirag Sehgal
Last Activity: 3 Years ago
Let velocity of wave be v, Tension be T, length be l and mass be m
Given : v ∝ Ta lb mc
v = k Ta lb mc [k is the constant of proportionality]
[LT-1] = [MLT-2]a [L]b [M]c
LT-1 = Ma+c La+b T-2a
Comparing powers of L, M and T individually
a+c = 0 => a=-c
a+b = 1
-2a = -1 => a=1/2
c = – 1/2
b = 1/2
Thus, a = b = 0.5 and c = -0.5
So v = k√(T x l)
√m
