Question

A simple harmonic transverse wave is traveling along a stretched wire which has a linear mass density of 9.00 g/m. The tension in the wire is 10.00 N. Calculate the wavelength of the wave if it has a frequency 300 Hz.

Answer 1

0.11m

Step-by-step explanation:

Before calculating for the wavelength of the wave, we need to get the velocity of the wave in the wire.

Velocity of transverse wave in a stretched wire is expressed as;

V = √T/m where;

T is the tension in the wire = 10N

m is the mass per unit length =

9g/m = 0.009kg/m

V = √10/0.009

V = √1111.1

V = 33.3m/s

Since the frequency of the wave produced = 300Hz

Using the formula v = f¶ to calculate the wavelength, where ¶ is the wavelength

¶ = v/f

¶ = 33.3/300

¶ = 0.11m

The wavelength of the wave is 0.11m