Question

show dimensionally that the frequancy n of transverse waves in a string of length l and mass per unit length m under a tension T is given by n=k/l*(t/m)^1/2

Answer 1

Answer:

Explanation:Zara babla to dikha

Answer 2

Answer:

Explanation:let n=KT^aL^bM^c where k=dimensionless constant.

[T]=MLT^-2

[L]=L^1

[M]=M^1L^-1

[n]=T^-1

=>T^-1=(MLT^-2)^aL^b(ML^-1)^c

=>T^-1=M^(a+c)L^(a+b-c)T^(-2a)

On solving both sides we get:

=> a=1/2

=>b=-1

=>c=-1/2

=>K/l√(T/M). (HENCE PROVED)