A) \[{{\sin }^{-1}}\left( \frac{8}{9} \right)\]
B) \[{{\sin }^{-1}}\left( \frac{2}{3} \right)\]
C) \[{{\cos }^{-1}}\left( \frac{8}{9} \right)\]
D) None of these
Correct Answer: A
Solution :
When a ray of light passes from a denser medium to a rarer medium, it bends away from the normal at the interface of the two media. The angle of incidence is measured with respect to the normal at the refractive boundary. It is given by \[C={{\sin }^{-1}}\left( \frac{{{n}_{2}}}{{{n}_{1}}} \right)\] where, C is critical angle,\[{{n}_{2}}\]is the refractive index of rarer medium and\[{{n}_{1}}\]of the denser medium. Given, \[{{n}_{2}}=1.33,{{n}_{1}}=1.50\] \[C={{\sin }^{-1}}\left( \frac{1.33}{1.50} \right)\] \[C={{\sin }^{-1}}\left( \frac{8}{9} \right)\]You need to login to perform this action.
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