Question

If wavelength of a sound wave in a medium is reduced by 50% then what is the percentage change in its frequency?

Answer 1

Explanation:

The wavelength of sound wave is

λ=

ν

v

ν=

λ

v

where, v is the velocity of sound waves and ν is the frequency of sound waves.

When the wavelength of a sound wave is reduced by 50%

λ−

100

50

λ=

ν

′

v

2

1

λ=

ν

′

v

ν

′

=

λ

2v

The percent change in frequency is

ν

ν−ν

×100=

λ

v

λ

2v

−

λ

v

×100

⇒(2−1)×100=100%