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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 is胃c=76.7掳

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 when胃2=90掳. Becausesin90掳=1, Snell鈥檚 lawn1sin胃c=n2sin90掳gives the critical angle of incidence as

胃c=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,

胃c=sin-1n2n1

Substitute the Values:

胃c=sin-11.461.50

Simplify:

=76.7掳

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