Question

A body vibrating with a time period of 1/256s produces a sound wave which travels in air with a velocity of 350m/s.calculate the wavelength.

Answer 1

Time period = 1/256s
We know,
Velocity = frequency × wavelength
We need to find frequency:
Time period is reciprocal of frequency..
∴Frequency = $\frac{1}{ \frac{1}{256 } }$
                    = 256 Hz
So, Velocity = frequency × wavelength
Then, wavelength = $\frac{velocity}{frequency}$
                             = $\frac{350}{256}$
                             = 1.367 m
                        

Answer 2

Time period = $\frac{1}{256} seconds$

Frequency = $\frac{1}{Time period }$
= $\frac{1}{ \frac{1}{256} }$
= 256 Hz

Velocity = Frequency x Wavelength

Wavelength = $\frac{Velocity}{Frequency} = \frac{350}{256}$
= 1.367 metres (approx.)