Deviation in Prism

Q. If a prism of angle $6^{\circ }$ deviates a ray through $3^{\circ }$, the refractive index of the material of prism is

1. 1.62
2. 1.33
3. 1.5
4. 1.72

Q.

If the critical angle for a diamond is $25°$, what is the refractive index of the diamond?

Q.

A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and each of these is equal to ${\frac{3}{4}}^{th}$ of the angle of the prism. The angle of deviation is

Q. If one face of a prism of angle ${30}^{\circ }$ and refractive index $\mu =\sqrt{2}$ is silvered, the incident ray retraces its initial path. The angle of incidence is

1. ${45}^{\circ }$
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${15}^{\circ }$

Q. A ray of light is incident at angle $i$ on a surface of a prism of small angle $A$ and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, the angle of incidence $i$ is nearly equal to:

1. $\frac{A}{\mu }$
2. $\frac{A}{\left(2\mu \right)}$
3. $\mu A$
4. $\mu \frac{A}{2}$

Q. If one face of a prism of angle ${30}^{\circ }$ and refractive index $\mu =\sqrt{2}$ is silvered, the incident ray retraces its initial path. The angle of incidence is

1. ${45}^{\circ }$
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${15}^{\circ }$

Q. A light ray is incident perpendicular to a face of a ${90}^{\circ }$ prism and is totally internally reflected at the glass – air interface. If the angle of reflection is ${45}^{\circ }$, what can be concluded about the refractive index n?

1. $n<\frac{1}{\sqrt{2}}$
2. $n<\sqrt{2}$
3. $n>\frac{1}{\sqrt{2}}$
4. $n>\sqrt{2}$

Q.

Critical angle of first medium is ${60}^{\circ }$ and it's refractive index 1.732. The refractive index of the second medium is

1. 1.5

2. 1.7
3. 1.6
4. 2

Q. A right-angled prism of apex angle $4^{\circ }$ and refractive index $1.5$ is located in front of a vertical plane mirror as shown in figure. A horizontal ray of light is falling on the prism. Find the total deviation produced in the light ray as it emerges 2nd time from the prism.

1. $8^{\circ }CW$
2. $6^{\circ }CW$
3. ${180}^{\circ }CW$
4. ${176}^{\circ }CW$

Q. A prism $(\mu =1.5)$ has the refracting angle of ${30}^{\circ }$. The deviation of a monochromatic ray incident normally on its one surface will be $(sin{48}^{\circ }{36}^{\prime }=0.75)$

1. ${18}^{\circ }{36}^{\prime }$
2. ${20}^{\circ }{30}^{\prime }$
3. ${18}^{\circ }$
4. ${22}^{\circ }{1}^{\prime }$

Q. A prism ABC of angle ${30}^{\circ }$ has its face AC silvered. A ray of light incident at an angle of ${45}^{\circ }$ at the face AB retraces its path after refraction at face AB and reflection at face AC. The refractive index of the material of the prism is

1. 1.5
2. $\frac{3}{\sqrt{2}}$
3. $\sqrt{2}$
4. $\frac{4}{\sqrt{3}}$

Q. The angle of prism is $3^{\circ }$. The refractive index is $1.5$. The angle of minimum deviation is .

1. $2^{\circ }$
2. ${1.5}^{\circ }$
3. ${0.5}^{\circ }$
4. $1^{\circ }$

Q. A ray of light is incident at angle $i$ on a surface of a prism of small angle $A$ & emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, the angle of incidence $i$ is nearly equal to

1. $\frac{A}{\mu }$
2. $\frac{A}{\left(2\mu \right)}$
3. $\mu A$
4. $\mu \frac{A}{2}$

Q. The refractive index of a prism is 2. This prism can have A mximum refracting angle of

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. ${30}^{\circ }$

Q. The light ray is incident at an angle of ${60}^{\circ }$ on a prism of angle ${45}^{\circ }$. When the light ray falls on the other surface at ${90}^{\circ }$, the refractive index of the material of prism $\mu$ and the angle of deviation $\delta$ are given by

1. $\mu =\sqrt{2},\delta ={30}^{\circ }$
2. $\mu =1.5,\delta ={15}^{\circ }$
3. $\mu =\frac{\sqrt{2}}{2},\delta ={30}^{\circ }$
4. $\mu =\sqrt{\frac{3}{2}},\delta ={15}^{\circ }$

Q. A ray of light is incident at angle $i$ on a surface of a prism of small angle $A$ and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, the angle of incidence $i$ is nearly equal to:

1. $\frac{A}{\mu }$
2. $\frac{A}{\left(2\mu \right)}$
3. $\mu A$
4. $\mu \frac{A}{2}$

Q. Angle of a prism is ${30}^{\circ }$ and its refractive index is $\sqrt{2}$and one of the surface is silvered. At what angle of incidence, a ray should be incident on one surface so that after reflection from the silvered surface, it retraces its path

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. $si{n}^{-1}\sqrt{1.5}$