An isosceles glass prism $\left( \mu = \frac{3}{2} \right)$ has one of its equal faces coated with silver. $A$ ray is normally incident on the other face and is reflected twice and then emerges through the base of the prism perpendicular to it,as shown in the figure. Find the angle $\theta$ of the prism in degrees. (in $^{\circ}$)

  • A
    $72$
  • B
    $36$
  • C
    $18$
  • D
    $144$

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Similar Questions

$A$ ray $OP$ of monochromatic light is incident on the face $AB$ of prism $ABCD$ near vertex $B$ at an incident angle of $60^{\circ}$ (see figure). If the refractive index of the material of the prism is $\sqrt{3}$,which of the following is (are) correct?
$(A)$ The ray gets totally internally reflected at face $CD$
$(B)$ The ray comes out through face $AD$
$(C)$ The angle between the incident ray and the emergent ray is $90^{\circ}$
$(D)$ The angle between the incident ray and the emergent ray is $120^{\circ}$

$A$ monochromatic ray of light is incident normally on a thin prism of refracting angle $A$. The ray is deviated through an angle $(1.15)^{\circ}$ in passing through the prism. The ray reflected internally from the second face emerges from the first face making an angle of $(6.3)^{\circ}$ with the incident ray. The refractive index of the prism is

It was found that the refractive index of the material of a certain prism varied as $\mu = 1.5 + 0.004 / \lambda^{2}$,where $\lambda$ is the wavelength of light used to measure the refractive index. The same material was then used to construct a thin prism of apex angle $10^{\circ}$. Angles of minimum deviation $\delta_{m}$ of the prism were recorded for the sources with wavelengths $\lambda_{1}$ and $\lambda_{2}$,respectively. Then,

If the prism angle is $60^{\circ}$ and the angle of minimum deviation is $40^{\circ}$, what is the angle of refraction in degrees?

We use a flint glass prism to disperse polychromatic light because light of different colours:

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