A transparent cube of side d, made of a material of refractive index \[{{\mu }_{2}},\]is immersed in a liquid of refractive index \[{{\mu }_{1}}({{\mu }_{1}}<{{\mu }_{2}}).\]A ray is incident on the face AB at an angle \[\theta \](shown in the figure). Total internal reflection takes place at point E on the face BC. |
The \[\theta \] must satisfy : [JEE Main 12-4-2019 Afternoon] |
A) \[\theta <{{\sin }^{-1}}\frac{{{\mu }_{1}}}{{{\mu }_{2}}}\]
B) \[\theta <{{\sin }^{-1}}\sqrt{\frac{\mu _{2}^{2}}{\mu _{1}^{2}}-1}\]
C) \[\theta >{{\sin }^{-1}}\frac{{{\mu }_{1}}}{{{\mu }_{2}}}\]
D) \[\theta >{{\sin }^{-1}}\sqrt{\frac{\mu _{2}^{2}}{\mu _{1}^{2}}-1}\]
Correct Answer: B
Solution :
[b] |
For TIR |
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