Question

The x-z plane separates two media A and B of refractive indices m₁ = 1.5 and m₂ = 2. A ray of light travels from A to B. Its directions in the two media are given by unit vectors $\vec { \mu } _ { 1 }$ = $a \hat { i } + b \hat { b }$ , $\vec { \mu } _ { 2 }$= $c \hat { i } + d \hat { d }$ , then –

• A. $\frac { \mathrm { a } } { \mathrm { c } } = \frac { 4 } { 3 }$
• B.
• C.
• D.

Answer 1

Answer: (A)

$\frac { \mathrm { a } } { \mathrm { c } } = \frac { 4 } { 3 }$

Answer 2

n₁ sin i = n₂ sin r

1.5 = 2 $\left( \vec { \mu } _ { 2 } \times \hat { \mathrm { j } } \right)$

1.5 [(×] = 2 [ () × j]

1.5 $\mathrm { a } \hat { \mathrm { k } }$ = 2c

= $\frac { 2 } { 1.5 }$ = $\frac { 4 } { 3 }$