Assume that the displacement (s) of air is proportional to the pressure difference ( ) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air (ρ) and the frequency (f). If ~

Correct answer: A. (3)/(100)mm S = P _ 0 BK = P _ 0 P V ^ 2 (ω)/(V) = P _ 0 P V _ ω = (10)/(1 × 1000 × 300)m ≃ (3)/(100)mm

JEE Main 20205 SeptemberMorning Shift

JEE Main 2020 · 5 September · Morning Shift · Physics · Waves and Sound

Assume that the displacement (s) of air is proportional to the...

Assume that the displacement (s) of air is proportional to the pressure difference

\left(\Deltap\right)

created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air

\left(ρ\right)

and the frequency (f). If

\Deltap ~ 10Pa, n ~ 300m / s, p ~ 1kg / {m}^{3} f ~ 1000Hz

, then s will be of the order of (take the multiplicative constant to be 1 )

A. $\dfrac{3}{100}mm$

$S = \dfrac{{P}_{0}}{BK}$

$= \dfrac{{P}_{0}}{P{V}^{2}\dfrac{\omega}{V}}$

$= \dfrac{{P}_{0}}{P{V}_{\omega}}$

$= \dfrac{10}{1 \times 1000 \times 300}m$

$≃ \dfrac{3}{100}mm$