TIR in Prism

Q. A man cannot see objects closer than $1$ metre from the eye clearly. What is the power of the corrective lens he should use?

1. $-3\text{D}$
2. $+3\text{D}$
3. $-2\text{D}$
4. $+2\text{D}$

Q.

Why angle of incidence of a ray is always equal to the angle of reflection?

Q. A ray of light entering from air into a denser medium of refractive index \(\dfrac{4}{3}\), as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle \(\theta\) should be equal to

Q. A ray of light from a liquid $(\mu =\sqrt{3})$ is incident on a system of two right angled prisms of refractive indices $\sqrt{3}$ and $\sqrt{2}$ as shown. The ray suffers zero deviation when it emerges into air from face $CD$. The angle of incidence $i$ is $P\times 9^{\circ }$. Then, find the value of $P$.

Q. the refractive indices of a glass prism for violet yellow and red colors are 1.790, 1.795 and 1.805 respectively .the dispersive power of the prism

Q. In the figure shown, $AB$ is a plane mirror of length $40\text{cm}$ placed at height of $40\text{cm}$ from the ground. There is a light source at a point on the ground. Find the minimum height of a man (eye height) required to see the image of the source if he is standing at a point $P$ on the ground as shown in the figure.

1. $300\text{cm}$
2. $350\text{cm}$
3. $200\text{cm}$
4. $160\text{cm}$

Q. Angle of incidence is equal to angle of emergences in which condition .it is not equal always

Q. A glass prism of refractive index $1.5$ is immersed in water $($refractive index $\frac{4}{3}$$)$. A light beam incident normally on the face $AB$ is totally reflected of face $AC$ to reach the face $BC,$ if

1. $\sin \theta >\frac{8}{9}$
2. $\frac{2}{3}<\sin \theta <\frac{8}{9}$
3. $\sin \theta <\frac{2}{3}$
4. None of the above

Q. A light ray is incident on a glass sphere at an angle of incidence ${60}^{\circ }$ as shown in the figure. The amount of total deviation suffered by the light ray when it comes out of the glass sphere will be

1. ${45}^{\circ }$
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${75}^{\circ }$

Q. A ray is incident on a sphere of refractive index $\sqrt{2}$ as shown in figure. Angle of refraction of the ray inside sphere is ${30}^{\circ }$ and ray underdoes TIR as shown. If total deviation suffered by the ray is $x\times {30}^{\circ }$, then find $x$.

Q. A glass prism with a refracting angle of ${60}^{\circ }$ has a refractive index $1.52$ for red light. A parallel beam of white light is incident on one face of the prism at an angle of incidence, which gives minimum deviation for red light. Find the angle of minimum deviation for red light.
[Given: $\sin \left({50}^{\circ }\right)=0.760$]

1. ${30}^{\circ }$
2. ${40}^{\circ }$
3. ${50}^{\circ }$
4. ${60}^{\circ }$

Q. Find the angle of incidence at which the light ray will retrace its path after reflection from the plane mirror.

1. ${45}^{\circ }$
2. ${60}^{\circ }$
3. ${30}^{\circ }$
4. ${75}^{\circ }$

Q. Dispersion without deviation is produced by two thin (small angled) prisms which are combined. One prism has angle $6^{\circ }$ and refractive index $1.52$. If the other prism has an angle $4^{\circ }$, what is its refractive index ?

1. $1.17$
2. $1.48$
3. $1.64$
4. $1.78$

Q. A glass prism $\mu =1.5$ is dipped in water $(\mu =\frac{4}{3})$ as shown in figure. A light ray is incident normally on the surface $\text{AB}.$ It reaches the surface $\text{BC}$ after totally reflected if-

1. $\sin \theta \ge \frac{8}{9}$
2. $\frac{2}{3}<\sin \theta <\frac{8}{9}$
3. $\sin \theta \le \frac{2}{3}$
   
4. ​​​​​​ It is not possible
   

Q.

The angle of a prism is ${60}^{\circ }$. When light is incident at an angle of ${60}^{\circ }$ on the prism, the angle of emergence is ${40}^{\circ }$. The angle of incidence i for which the light ray will deviate the least is such that

1. $i<{40}^{\circ }$

2. ${40}^{\circ }<i<{50}^{\circ }$

3. ${50}^{\circ }<i<{60}^{\circ }$

4. $i>{60}^{\circ }$

Q. A ray of light is incident on a prism made of a material of refractive index $\sqrt{2}$ at an angle $\left(i\right)$. Angle of the prism is ${30}^{\circ }$ and if the second refracting surface is silvered, a ray of light entering the prism will retrace its path $($after reflection from the silvered surface$)$ then find the angle of incidence.

[Assume, surrounding medium to be air]

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

Q. A coin lies at the bottom of a lake 2 m deep, at a horizontal distance 'x' from the viewer situated 1 m above the surface of a liquid as shown in the figure. Refractive index of water is $\mu =\sqrt{2}$. Find the value of x, if refracted ray enters the eye of the viewer at an angle of ${45}^{\circ }$ from the vertical.

1. $(1+\frac{1}{\sqrt{2}})\text{m}$
2. $(2+\frac{1}{\sqrt{3}})\text{m}$
3. $(1+\frac{2}{\sqrt{3}})\text{m}$
4. $(3+\frac{1}{\sqrt{3}})\text{m}$

Q.

What is the required condition, if the light incident on one face, does not emerge from the other face ?

Q. A fish looking up through water sees the outside world contained in a circular horizon. If the fish is $12\text{cm}$ below the surface of water $(\mu =4/3)$, the radius of circle will be

1. $\frac{16}{\sqrt{7}}\text{cm}$
2. $\frac{26}{\sqrt{7}}\text{cm}$
3. $\frac{36}{\sqrt{7}}\text{cm}$
4. $\frac{46}{\sqrt{7}}\text{cm}$

Q. A ray of light is incident on a prism $ABC(AB=BC)$ & travels as shown. The refractive index of the prism material should be at least

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

Q. 46.Prove Angle I + angle r = angle a + angle d where a is angle of prism and d is angle of deviation

Q.

Using division method find HCF of 924, 1463 and 1925

Q. A glass prism of refractive index $1.5$ is placed in water of refractive index $1.33$. The minimum value of the angle of the prism so that it will not be possible to have any emergent ray is :

1. ${150}^{\circ }$
2. ${165}^{\circ }$
3. ${180}^{\circ }$
4. ${125}^{\circ }$

Q. If Observer and Object are present in air medium, then find the net shift in position of object produced due to the combination of glass slabs as seen from the side of an observer $O^{\prime }$.

1. $20\text{cm}$
2. $30\text{cm}$
3. $15\text{cm}$
4. $25\text{cm}$

Q.

4. Find the greatest number that exactly divides $306,450and540$.

Q. A glass prism of refractive index $1.5$ is immersed in water $[\mu =\frac{4}{3}]$ as shown in figure. A light beam incident normally on the face $AB$ is totally reflected to reach the face $BC$, if

1. $\sin \theta >\frac{8}{9}$
2. $\frac{2}{3}<\sin \theta <\frac{8}{9}$
3. $\sin \theta <\frac{2}{3}$
4. $\cos \theta \ge \frac{8}{9}$

Q. A glass prism of refractive index $1.5$ is immersed in water $(\mu =4/3)$ as shown in the figure. A light ray incident normally on face $AB$ will get totally reflected from the face $AC$ if

1. $\theta >{\sin }^{-1}\left(\frac{8}{9}\right)$
2. $\theta <{\sin }^{-1}\left(\frac{8}{9}\right)$
3. $\theta ={\sin }^{-1}\left(\frac{8}{9}\right)$
4. $\theta >{\sin }^{-1}\left(\frac{3}{4}\right)$

Q. A part of a prism has been shown in the figure. If the angle of incidence at the surface $\text{I}$ of the prism is ${45}^{\circ }$, then the light ray is incident on the surface $\text{II}$ at an angle of

1. ${30}^{\circ }$
2. ${20}^{\circ }$
3. ${40}^{\circ }$
4. ${50}^{\circ }$

Q. The image of a tree just covers the length of a plane mirror $4\text{cm}$ tall when the mirror is held $35\text{cm}$ from the eye. The tree is $28\text{m}$ from the mirror. What is its height?

1. $300\text{cm}$
2. $225\text{cm}$
3. $324\text{cm}$
4. $350\text{cm}$

Q.

White light is considered to be___.