When a glass prism of refracting angle 60^cir | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given: Refracting angle $A = 60^\circ$,Angle of minimum deviation $\delta_m = 30^\circ$.The refractive index $\mu$ of the prism with respect to th

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(B) Given: Refracting angle $A = 60^\circ$,Angle of minimum deviation $\delta_m = 30^\circ$.The refractive index $\mu$ of the prism with respect to the liquid is given by the formula:$\mu = \frac{\sin((A + \delta_m)/2)}{\sin(A/2)}$Substituting the values:$\mu = \frac{\sin((60^\circ + 30^\circ)/2)}{\sin(60^\circ/2)} = \frac{\sin(45^\circ)}{\sin(30^\circ)} = \frac{1/\sqrt{2}}{1/2} = \sqrt{2}$The relation between refractive index and critical angle $C$ is $\mu = 1/\sin(C)$.Therefore,$\sin(C) = 1/\mu = 1/\sqrt{2}$.This gives $C = \sin^{-1}(1/\sqrt{2}) = 45^\circ$.

When a glass prism of refracting angle $60^\circ$ is immersed in a liquid,its angle of minimum deviation is $30^\circ$. The critical angle of glass with respect to the liquid medium is......$^\circ$

Similar Questions

For a prism of angle $\pi/3$,the angle of minimum deviation is $\pi/6$. If the velocity of light in vacuum is $3 \times 10^{8} \text{ m/s}$,then the velocity of light in the material of the prism is:

The angle of a prism is $A$ and one of its refracting surfaces is silvered. Light rays falling at an angle of incidence '$2A$' on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index of the material of the prism is

$A$ light ray is incident normally on one surface of an equilateral prism. The angle of deviation of the light ray is (refractive index of the material of the prism $=\sqrt{2}$) (in $^{\circ}$)

Yellow light is refracted through a prism producing minimum deviation. If $i_1$ and $i_2$ denote the angle of incidence and emergence for the prism,then ..........

The variation of the refractive index of a crown glass thin prism with the wavelength of the incident light is shown. Which of the following graphs is the correct one,if $D_m$ is the angle of minimum deviation?

Vedclass Test Series

Exam Paper Generator

Online Exam Module