In one observation, the sound wave had a frequency of 1665 Hz and a pressure amplitude of 1 . 13 × 10 - 3 Pa . What were the displacement amplitude and (Given: Density of air = ρ air = 1 . 21 kg / m 3 )

Given that, The frequency of the sound wave = 1665 H z A pressure amplitude = 1 . 13 × 10 - 3 P a And, the density of air = 1 . 21 kg / m 3 Now, the relation between pressure amplitude and displacement amplitude is given as, Δ p max = B A k ∆ p m a x = v 2 ρ A ω v So, it can be written as, ∆ p m a x = v 2 ρ A 2 π f v Since the displacement amplitude is A = Δ p max 2 π f ρ v Therefore, A = 1 . 13 × 10 - 3 Pa 2 π ( 1665 Hz ) 1 . 21 kg / m 3 ( 343 m / s ) ⇒ A = 0 . 26 × 10 - 9 m ⇒ A = 0 . 26 nm Hence, the displacement amplitude is 0 . 26 nm .

In one observation, the sound wave had a frequency of 1665 Hz and a pressure amplitude of 1 . 13 × 10 - 3 Pa . What were the intensity of the wave emitted by the ear? (Given: Density of air = ρ air = 1 . 21 kg / m 3 )

Given that, The frequency of the sound wave = 1665 H z A pressure amplitude = 1 . 13 × 10 - 3 P a And, the density of air = 1 . 21 kg / m 3 Now, the relation between pressure amplitude and displacement amplitude is given as, Δ p max = B A k But, the intensity of the wave in terms of the pressure amplitude is given by, I = Δ p m 2 2 ρ v Therefore, I = 1 . 13 × 10 - 3 Pa 2 2 1 . 21 kg / m 3 ( 343 m / s ) ⇒ I = 1 . 5 nW / m 2 Hence, the intensity of the wave emitted by the ear is 1 . 5 nW / m 2

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 8 - Sound Waves and Doppler Effect>ILLUSTRATIONS

B M Sharma Solutions for Chapter: Sound Waves and Doppler Effect, Exercise 1: ILLUSTRATIONS

Author:B M Sharma

B M Sharma Physics Solutions for Exercise - B M Sharma Solutions for Chapter: Sound Waves and Doppler Effect, Exercise 1: ILLUSTRATIONS

Attempt the free practice questions on Chapter 8: Sound Waves and Doppler Effect, Exercise 1: ILLUSTRATIONS with hints and solutions to strengthen your understanding. PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS solutions are prepared by Experienced Embibe Experts.