Question

A sound wave produces 256 vibrations in a second. What is its frequency and time period

Answer 1

hey!

frequency = no of vibration per second

its SI unit is hertz

hence frequency is 256 hertz

frequency= 1/time period
256 = 1/t
256t = 1
t = 1/256 s

time period = 1/ 256 second

time period is defined as time taken to complete 1 oscillation

its SI unit is second

Answer 2

Answer:

A sound wave produces 256 vibrations in a second, its frequency and time period are $f=256Hz$ and $T=3*10^{-3}s$

Explanation:

• The frequency (f) of the sound wave is the number of vibrations per second

• The time period (T) is $T=1/f$

• For a wave moving with a speed (V), the wavelength (λ) is the distance between compressions or rarefactions in a sound wave

        λ$=V/f$

From the question, we have

a sound wave produces $256$ vibrations per second

⇒

the frequency of vibration $f=256Hz$

and the time period of the wave is $T=1/256=3*10^{-3}s$