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Chapter 34: Q. 15 (page 990)

A thin glass rod is submerged in oil. What is the critical angle for light traveling inside the rod?

Short Answer

Expert verified

The critical angle for light traveling inside the rod isθc=76.7°

Step by step solution

01

Total Internal Reflection:

The boundary prevents the ray from refracting. Instead, all of the light reflects back into the prism from the boundary. This is known as total internal reflection, or TIR for short.

02

Critical Angle:

A critical angle is reached whenθ2=90°. Becausesin90°=1, Snell’s lawn1sinθc=n2sin90°gives the critical angle of incidence as

θc=sin-1n2n1

03

Determine the critical angle for light inside the rod:

Equation that yields the critical angle for light travelling inside the rod is,

θc=sin-1n2n1

Substitute the Values:

θc=sin-11.461.50

Simplify:

=76.7°

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