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Light in a vacuum is incident on the surface of a glass slab. In the vacuum, the beam makes an angle of32.0°with the normal to the surface, while in the glass it makes an angle of21.0°with the normal. What is the index of refraction of the glass?

Short Answer

Expert verified

The refractive index of glass is1.48 .

Step by step solution

01

 Step 1: Given

  • The vacuum beam makes an angle ofθ2=32°
  • The Refractive index of vacuum isn2=1
  • Glass makes an angle ofθ1=21°
02

Determining the concept

Here use the formula for Snell’s law, which gives the relation between the angle of incidence and angle of refraction.

The formula is as follows:

n1²õ¾±²Ô θ1=n2²õ¾±²Ô θ2

03

Determining therefractive index of glass is  1.48

Use Snell’s law.

n1²õ¾±²Ô θ1=n2²õ¾±²Ô θ2n1=n2²õ¾±²Ô θ2²õ¾±²Ô θ1n1=1sin(32)sin(21)n1=1.4786≈1.48

So, the refractive index of glass is 1.48.

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