KCET · Physics · Ray Optics
A ray of light is travelling from glass to air. (refractive index of glass \(=1.5\) ). The angle of incidence is \(50^{\circ}\). The deviation of the ray is
- A \(0^{\circ}\)
- B \(80^{\circ}\)
- C \(50^{\circ}-\sin ^{-1}\left[\frac{\sin 50^{\circ}}{1.5}\right]\)
- D \(\sin ^{-1}\left[\frac{\sin 50^{\circ}}{1.5}\right]-50^{\circ}\)
Answer & Solution
Correct Answer
(B) \(80^{\circ}\)
Step-by-step Solution
Detailed explanation
Refractive index, \({ }^{a} \mu_{g}=1.5\)
\(\Rightarrow \quad C=42^{\circ}\)
Critical angle for glass \(=42^{\circ}\)
When the angle of incidence in the denser medium is greater than the critical angle, reflection takes place inside the denser medium.
Hence, a ray of light incident at \(50^{\circ}\) in glass medium undergoes total internal reflection.
Deviation \((\delta)=180^{\circ}-\left(50^{\circ}+50^{\circ}\right)\)
(from the-figure)
or
\(
\delta=80^{\circ}
\)
\(\Rightarrow \quad C=42^{\circ}\)
Critical angle for glass \(=42^{\circ}\)
When the angle of incidence in the denser medium is greater than the critical angle, reflection takes place inside the denser medium.
Hence, a ray of light incident at \(50^{\circ}\) in glass medium undergoes total internal reflection.
Deviation \((\delta)=180^{\circ}-\left(50^{\circ}+50^{\circ}\right)\)
(from the-figure)
or
\(
\delta=80^{\circ}
\)
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