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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Geometrical Optics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics

Determine the angle of deviation experienced by the light ray...

Determine the angle of deviation experienced by the light ray depicted in the figure. The prism material has a refractive index μ=1.5\mu = 1.5.
Determine the angle of deviation experienced by the light ray depicted in the figure. The prism material has a

Options

  1. A4∘4^\circ
  2. B1∘1^\circ
  3. C2∘2^\circ
  4. D6∘6^\circ

Correct answer

C. 2∘2^\circ

Step-by-step solution

The light ray is incident normally on the first face of the prism, so the angle of incidence i1=0∘i_1 = 0^\circ and the angle of refraction r1=0∘r_1 = 0^\circ.

For a prism, the refracting angle A=r1+r2A = r_1 + r_2.

Given A=4∘A = 4^\circ, we have r2=4∘r_2 = 4^\circ.

Applying Snell's law at the second face:

μsin⁡(r2)=sin⁡(e)\mu \sin(r_2) = \sin(e)

Since the angles are small, sin⁡(θ)≈θ\sin(\theta) \approx \theta:

μr2=e\mu r_2 = e

1.5×4∘=e⇒e=6∘1.5 \times 4^\circ = e \Rightarrow e = 6^\circ

The angle of deviation δ\delta is:

δ=i1+e−A\delta = i_1 + e - A

δ=0∘+6∘−4∘=2∘\delta = 0^\circ + 6^\circ - 4^\circ = 2^\circ

Alternatively, for a thin prism, the deviation is directly given by:

δ=(μ−1)A\delta = (\mu - 1)A

δ=(1.5−1)×4∘=2∘\delta = (1.5 - 1) \times 4^\circ = 2^\circ
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