By what factor must the amplitude of a sound wave be decreased in order to decrease the intensity by a factor of 2?

The amplitude of a sound wave must be decreased by a factor of √2

Let's recall the speed of wave and intensity of wave formula as follows:

f = frequency of wave ( Hz )

v = speed of wave ( m/s )

λ = wavelength ( m )

I = intensity of wave ( W/m² )

A = amplitude of wave ( m )

f = frequeny of wave ( Hz )

ρ = density of medium ( kg/m³ )

v = speed of wave ( m/s )

Let's tackle the problem!

Given:

Amplitude of First Wave = A

Intensity of First Wave = I

Intensity of Second Wave = ¹/₂ I

Asked:

Amplitude of Second Wave = ?

Solution:

The amplitude of a sound wave must be decreased by a factor of √2

Grade: College

Subject: Physics

Chapter: Sound Waves

Keywords: Sound, Wave , Wavelength , Doppler , Effect , Policeman , Stationary , Frequency , Speed , Beats, Medium, Space