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Standard X

Physics

Refraction through a Rectangular Glass Slab

A student whi...

Question

A student while doing the experiment on tracing the path of a ray of light passing through a rectangular glass slab measured the three angles marked as θ₁, θ₂ and θ₃in the figure.

His measurements could be correct if he were to find:
(1) θ₁ < θ₂ < θ₃
(2) θ₁ < θ₂ but θ₁ = θ₃
(3) θ₁ > θ₂ > θ₃
(4) θ₁ > θ₂ but θ₂ = θ₃

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Solution

When a light ray enters the rectangular glass slab, which is denser medium than air, it bends towards the normal. When it emerges back to the rarer medium(air), it bends away from the normal and becomes parallel to the incident ray. So, the angle of incident is always greater than the angle of refraction and always equal to the angle of emergence. i.e. $∠ i > ∠ r, ∠ i = ∠ e$

According to this, the correct relation between the given angles is, $θ_{1} > θ_{2} but θ_{1} = θ_{3}$

Hence, the correct answer is option 2.

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