Question

(i) On entering in a medium from air, the speed of light becomes half of its value in

air. Find the refractive index of that medium with respect to air?

(ii) A glass slab made of a material of refractive index n1 is kept in a medium of

refractive index n2.

A light ray is incident on the slab. Draw the path of the rays of light emerging from

the glass slab, if (i) n1> n2 (ii) n1 = n2 (iii) n1< n2 ​

Answer 1

Answer:

(i) 2

(ii) refer to the attachment

Explanation:

(i)

Let the Speed of light in air be x m/s.

So, speed of light in a medium = x/2 m/s.

Refractive index of the medium with respect to air = Speed of light in first medium (air) ÷ Speed of light in second medium

or,

₂n₁ = x ÷ x/2 = x*2/x = 2

⇒ ₂n₁ = 2

Hence, the refractive index of the medium with respect to air is 2.

(ii)

refer to the attachment

Answer 2

Refractive index of the medium with respect to air $n=2$

Explanation:

(i)

speed of light in the medium, $v=\frac{c}{2}$

speed of light in the air, $c$

Now, according to Snells Law:

$\rm n=\frac{speed\ of\ sound\ in\ the\ air}{speed\ of\ sound\ in\ the\ medium}$

$n=c\div \frac{c}{2}$

$n=2$

(ii)

For refractive index greater the light ray bends towards the normal and vice versa.

When the refractive indices of 2 materials are equal then the light rays do not bend and go undeviated.

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TOPIC: refraction

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