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Refraction and Lenses

The angle of ...

Question

The angle of incidence for which refracted ray passes along the boundary separating the two media is called

A

critical angle

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B

angle of reflection

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C

angle of refraction

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D

angle of dispersion

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Q. A ray of light from a denser medium strikes the plane boundary of a rarer medium at an angle of incidence

I

. The angle of refraction is

r

. If the reflected and the refracted rays are mutually perpendicular the critical angle of the medium is :

Q. A ray of light travelling in a medium of refractive index

n_{1}

is incident on a medium of refractive index

n_{2} (< n_{1})

at an angle of incidence

θ

. The reflected and refracted rays make an angle of

120^{0}

with each other. Then the critical angle for the boundary separating the two media is

Q. Question no. 19 plese solve

Q19. A ray of light passes through a plane boundary separating two media, 'I' and '2' of refractive indices n₁=

\frac{3}{2} and n_{2} = \frac{4}{3}

.

(i) If the ray passes from medium I to medium 2 at an angle of incidence 30°. What is the angle of refraction at same angle of incidence.

(ii) If the ray passes from medium 2 and medium 1, what is the angle of refraction?
[Ans . (i) sin^–1

\frac{9}{16}

\frac{4}{9}

Q. A ray of light travels from a denser to a rarer medium. After refraction, it bends away from the normal. When we keep increasing the angle of incidence, the angle of refraction also increases till the refracted ray grazes along the interface of two media. The angle of incidence for which it happens is called critical angle. If the angle of incidence is increased further the ray will not emerge and it will be reflected back in the denser medium. This phenomenon is called total internal reflection of light.

The critical angle for a pair of two media

A

B

of refractive indices

2.0

1.0

respectively is

Q. (a) A light ray is incident from a denser medium on the boundary separating it from a rarer medium at an angle of incidence equal to the critical angle. What is the angle of refraction for the ray?

(b) Name two factors which affect the critical angle for a given pair of media. State how do the factors affect it.

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