A sound wave travels from air to water. The angle of incidence is α1 and the angle of refraction is α2. Assuming Snell's law to be valid.

Question

A sound wave travels from air to water. The angle of incidence is α1 and the angle of refraction is α2. Assuming Snell's law to be valid. (A) α2<α1 (B) α2>α1 (C) α2=α1 (D) α2=90°

Tardigrade Admin · Accepted Answer

μ1 sin α1=μ2 sin α2 ⇒ (vw/v text air ) sin α1=(v text air /v text air ) sin α2 or sin α2=(v w /v text air ) sin α1 As vw>v text air ; α2>α1

Q. A sound wave travels from air to water. The angle of incidence is $α_{1}$ and the angle of refraction is $α_{2}$ . Assuming Snell's law to be valid.

$α_{2} < α_{1}$

$α_{2} > α_{1}$

$α_{2} = α_{1}$

$α_{2} = 9 0^{\circ}$

$μ_{1} sin α_{1} = μ_{2} sin α_{2}$
$\Rightarrow \frac{v _{w}}{v _{air}} sin α_{1} = \frac{v _{air}}{v _{air}} sin α_{2}$
or $sin α_{2} = \frac{v _{w}}{v _{air}} sin α_{1}$
As $v_{w} > v_{air}; α_{2} > α_{1}$

Q. A sound wave travels from air to water. The angle of incidence is α1​ and the angle of refraction is α2​. Assuming Snell's law to be valid.

α2​<α1​

α2​>α1​

α2​=α1​

α2​=90∘