Question

Light in a vacuum is incident on a transparent glass slab. The angle of incidence is $35.0^{\circ} .$ The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the same $20.3^{\circ},$ the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?

Name: Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 35.0^∘ . The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the same 20.3^∘, the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?
Uploaded: 2021-10-31T04:56:34-08:00
Duration: 3 min 12 s
Channel: Prabhat Tyagi
Description: Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 35.0^∘ . The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the same 20.3^∘, the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?

          Light in a vacuum is incident on a transparent glass slab. The angle of incidence is $35.0^{\circ} .$ The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the same $20.3^{\circ},$ the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?

Added by Diana T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

10/31/2021

Step 1

Given: Angle of incidence in vacuum, $\theta_1 = 35.0^\circ$ Angle of incidence in liquid, $\theta_2 = 20.3^\circ$ Angle of refraction in vacuum, $\theta_1' = 35.0^\circ$ Using Snell's Law: $\frac{n_1}{n_2} = \frac{\sin \theta_2}{\sin \theta_1}$ Show more…

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Light in a vacuum is incident on a transparent glass slab. The angle of incidence is $35.0^{\circ} .$ The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the same $20.3^{\circ},$ the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?