Question

The frequency of a sound wave moving through a definite medium is 20 Hz and its wavelength is 2cm. What will be the frequency of another sound wave with wavelength 1cm in the medium?

Answer 1

Dear Student,

◆ Answer -

n2 = 40 Hz

● Explanation -

# Given -

n1 = 20 Hz

λ1 = 2 cm

λ2 = 1 cm

# Solution -

Velocity of the wave is calculated by -

v = nλ

For two sound waves,

n1.λ1 = n2.λ2

Rearranging -

n2 = n1.λ1/λ2

n2 = 20 × 2 / 1

n2 = 40 Hz

Hence, frequency of another sound wave is 40 Hz.

Thanks dear. Hope this helps you..

Answer 2

◆ Answer -

n2 = 40 Hz

● Explanation -

# Given -

n1 = 20 Hz

λ1 = 2 cm

λ2 = 1 cm

# Solution -

Velocity of the wave is calculated by -

v = nλ

For two sound waves,

n1.λ1 = n2.λ2

Rearranging -

n2 = n1.λ1/λ2

n2 = 20 × 2 / 1

n2 = 40 Hz

Hence, frequency of another sound wave is 40 Hz.