Q. The transverse displacement of a string fixed at both ends is given by where and are in metres and is in seconds. The length of the string is and its mass is What is the tension in the string?

 2227  186 Waves Report Error

Solution:

On comparing
with , we get

and
Velocity of the wave,
Here,
Mass per unit length of the string,

Velocity of a transverse wave on a stretched string is

where is the tension in the string and is the mass per unit length of the string.
From (i) and (ii), we get
or