A 200 Hz wave with amplitude 1 mm travels on a long string of linear mass density 6 g m⁻¹ kept under a tension of 60 N. (A) Find the average power transmitted across a given point on the string. (B) Find the total energy associated with the wave in a 20 m long portion of the string.

Question

Philoid · Accepted Answer

We can get velocity of wave by, putting values in,

Now, we know that average power is determined as,

Putting the values in it, we get P=0.47W (A)

As, string length is 2m, so,

So, energy=power * time

A 200 Hz wave with amplitude 1 mm travels on a long string of linear mass density 6 g m−1 kept under a tension of 60 N. (A) Find the average power transmitted across a given point on the string. (B) Find the total energy associated with the wave in a 20 m long portion of the string.