Question

A tuning fork produces sound wave of wavelength 0.5m if velocity of sound wave in air is 330m/s, find the frequency of the fork.​

Answer 1

Answer:

since v=f×λ

330=f×3.3

f=100 Hz

Answer 2

Given:

Wavelength of the wave (λ) = 0.5 m

Velocity of the sound wave (v) = 330 m/s

To find:

Frequency of the wave (f).

Solution:

• Frequency (f) of a wave is the number of complete oscillations or cycles produced by a wave in one second. Its SI unit is /second ($s^{-1}$) or Hertz (Hz).

• Wavelength (λ) simply refers to the length of a single wave or a crest and a trough. Its SI unit is meter (m).

We know,

The relation between frequency and wavelength

                                f ∝ 1/λ

                                f  = k × (1 /λ)

Here, k is a constant whose value is the speed of light in vacuum "c".

Hence,                    f  = v × (1/λ)

                                v = f × λ

Substituting the given values in the equation, we get

$f = \frac{330}{0.5}$

  $= 660 Hz$

Final answer:

Hence, the frequency of the sound wave will be 660 Hz.