A) \[\text{4}{{\text{5}}^{\text{o}}}\]
B) \[{{60}^{\text{o}}}\]
C) \[{{90}^{\text{o}}}\]
D) \[{{180}^{\text{o}}}\]
Correct Answer: A
Solution :
The relation for refractive index of prism is \[\mu =\frac{\sin i}{\sin r}\] ?(1) The condition for minimum deviation is \[r=\frac{A}{2}=\frac{60{}^\circ }{2}=30{}^\circ \] Putting the given value of \[\mu =\sqrt{2}\] and \[r=30{}^\circ \] in eq. (1), we get \[\sqrt{2}=\frac{\sin i}{\sin 30{}^\circ }\] So, \[\sin \,i=\sqrt{2}\times \frac{1}{2}=\frac{1}{\sqrt{2}}\] \[\sin i=\sin 45{}^\circ \] \[i=45{}^\circ \]
You need to login to perform this action.
You will be redirected in
3 sec
