Question

. He performs the experiment for two different values of angle of incidence: ∠i = 30° and ∠i = 45°.

The set of values of the angle of refraction (∠r) and angle of emergence (∠e), he is likely to observe

in the two cases, are

(a) [∠r = 30°, ∠e = 20°] and [∠r = 45°, ∠e = 28°]

(b) [∠r = 20°, ∠e = 30°] and [∠r = 45°, ∠e = 28°]

(c) [∠r = 20°, ∠e = 30°] and [∠r = 28°, ∠e = 45°]

(d) [∠r = 30°, ∠e = 20°] and [∠r = 28°, ∠e = 45°]​

Answer 1

Answer:

Solution

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Here OA is the incident ray.

Given:

The angle of incidence for first surface (air-glass interface),

i=55

∘

The angle of incidence for second surface (air-glass interface),

r

2

=40

∘

r

1

and r

2

are alternate interior angles,

∴ ∠r

1

=∠r

2

=40

∘

So, the angle of refraction at first surface r

1

=40

∘

Since, the emergent ray is parallel to the incident ray, the angle of emergence must be equal to angle of incidence , i.e.,

∠θ=∠i=55

∘

Answer:

the angle of refraction r

1

=40

o

the angle of emergence θ=55

o