For the same angle of incidence, the angles of refraction in media P, Q and R are 35°, 25° and 15°, respectively. Which of the following relation hold true for the velocity of light in medium P, Q and R ?

Question

For the same angle of incidence, the angles of refraction in media P, Q and R are 35°, 25° and 15°, respectively. Which of the following relation hold true for the velocity of light in medium P, Q and R ? (A) vP< vQ< vR (B) vP< vR< vQ (C) vP >vQ >vR (D) vP >vR >vQ

Tardigrade Admin · Accepted Answer

For same angle of incidence, the angle of refraction is minimum in medium

R

As,

μ = \frac{s i n i}{s i n r}

or

μ \propto \frac{1}{s i n r}

\Rightarrow μ

is maximum for

R

,
since

r

is minimum and hence,

sin r

is minimum.
Also,

μ = \frac{c}{v}

Therefore, if

μ

is maximum,

v

is minimum
i.e., velocity of light is minimum in medium

R

and order of velocity will be

v_{P} > v_{O} > v_{R}

Q. For the same angle of incidence, the angles of refraction in media $P, Q$ and $R$ are $3 5^{\circ}, 2 5^{\circ}$ and $1 5^{\circ}$ , respectively. Which of the following relation hold true for the velocity of light in medium $P, Q$ and $R$ ?

$v_{P} < v_{Q} < v_{R}$

$v_{P} < v_{R} < v_{Q}$

$v_{P} > v_{Q} > v_{R}$

$v_{P} > v_{R} > v_{Q}$

Q. For the same angle of incidence, the angles of refraction in media P,Q and R are 35∘,25∘ and 15∘, respectively. Which of the following relation hold true for the velocity of light in medium P,Q and R ?

vP​<vQ​<vR​

vP​<vR​<vQ​

vP​>vQ​>vR​

vP​>vR​>vQ​

Q. For the same angle of incidence, the angles of refraction in media $P, Q$ and $R$ are $3 5^{\circ}, 2 5^{\circ}$ and $1 5^{\circ}$ , respectively. Which of the following relation hold true for the velocity of light in medium $P, Q$ and $R$ ?

$v_{P} < v_{Q} < v_{R}$

$v_{P} < v_{R} < v_{Q}$

$v_{P} > v_{Q} > v_{R}$

$v_{P} > v_{R} > v_{Q}$