First slide

Total internal reflection - Ray optics and optical instruments

Question

If light travels a distance x in t₁ sec in air and 10 x distance in t₂ sec in a medium, the critical angle of the medium will be

Moderate

A

$\tan^{- 1} (\frac{t_{1}}{t_{2}})$
B

$\sin^{- 1} (\frac{t_{1}}{t_{2}})$
C

$\sin^{- 1} (\frac{10 t_{1}}{t_{2}})$
D

$\tan^{- 1} (\frac{10 t_{1}}{t_{2}})$

Solution

$From the formula sinC = \frac{1}{_{1} μ_{2}} \Rightarrow sinC =_{2} μ_{1}$
$= \frac{μ_{1}}{μ_{2}} = \frac{v_{2}}{v_{1}} \Rightarrow \sin C = \frac{10 x / t_{2}}{x / t_{1}} \Rightarrow sinC = \frac{10 t_{1}}{t_{2}} \Rightarrow C = \sin^{- 1} (\frac{10 t_{1}}{t_{2}})$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App