A light ray is incident normally on the face AB of a right-angled prism ABC $(\mu=1.50)$ as shown in figure. What is the largest angle $\phi$ for which the light ray is totally reflected at the surface AC?
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38 Q→Sample Questions
Geometrical Optics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A single lens is mounted in a tube. A parallel beam enters the tube and emerges out of the tube as a divergent beam. Can you say with certainty that there is a diverging lens in the tube?
Can you ever have a situation in which a light ray goes undeviated through a prism?
Find the maximum angle of refraction when a light ray is refracted from glass $(\mu=1.50)$ to air.
View full solution →Can a plane mirror ever form a real image?
The diameter of the sun is 1.4 × 109m and its distance from the earth is 1.5 × 1011m. Find the radius of the image of the sun formed by a lens of focal length 20cm.
A light ray, going through a prism with the angle of prism 60°, is found to deviate by 30°. What limit on the refractive index can be put from these data?
A small piece of wood is floating on the surface of a 2.5m deep lake. Where does the shadow form on the bottom when the sun is just setting? Refractive index of water $=\frac{4}{3}.$
View full solution →If a piece of paper is placed at the position of a virtual image of a strong light source, will the paper burn after sufficient time? What happens if the image is real? What happens if the image is real but the source is virtual?
A light ray falling at an angle of 45° with the surface of a clean slab of ice of thickness 1m is refracted into it at an angle of 30°. Calculate the time taken by the light rays, to cross the slab. Speed of light in vacuum = 3 × 108m/s
An air bubble is formed inside water. Does it act as a converging lens or a diverging lens?
If a spherical mirror is dipped in water, does its focal length change?
A diverging lens of focal length 20cm and a converging mirror of focal length 10cm are placed coaxially at a separation of 5cm. Where should an object be placed so that a real image is formed at the object itself?
A thin converging lens is formed with one surface convex and the other plane. Does the position of image depend on whether the convex surface or the plane surface faces the object?
Why does a diamond shine more than a glass piece cut to the same shape?
In motor vehicles, a convex mirror is attached near the driver's seat to give him the view of the traffic behind. What is the special function of this convex mirror which a plane mirror can not do?
Suppose you are inside the water in a swimming pool near an edge. A friend is standing on the edge. Do you find your friend taller or shorter than his usual height?
A small object is embedded in a glass sphere $(\mu=1.5)$ of radius 5.0cm at a distance 1.5cm left to the centre. Locate the image of the object as seen by an observer standing.
View full solution →- To the left of the sphere.
- To the right of the sphere.
A container contains water upto a height of 20cm and there is a point source at the centre of the bottom of the container. A rubber ring of radius r floats centrally on the water. The ceiling of the room is 2.0m above the water surface.
View full solution →- Find the radius of the shadow of the ring formed on the ceiling if r = 15cm.
- Find the maximum value of r for which the shadow of the ring is formed on the ceiling. Refractive index of water $\frac{4}{3}.$
A narrow pencil of parallel light is incident normally on a solid transparent sphere of radius r. What should be the refractive index if the pencil is to he focused.
- At the surface of the sphere.
- At the centre of the sphere.
Three transparent media of refractive indices $\mu_1,\mu_2$ and $\mu_3.$ A point object O is placed in the medium $\mu_2.$ If the entire medium on the right of the spherical surface has refractive index $\mu_1,$ the image forms at O'. If this entire medium has refractive index $\mu_3,$ the image forms at O". In the situation shown:
View full solution →- The image forms between O' and O"
- The image forms to the left of O'
- The image forms to the right of O"
- Two images form, one at O' and the other at O".
Four modifications are suggested in the lens formula to include the effect of the thickness t of the lens. Which one is likely to be correct?
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$\frac{1}{\text{v}}-\frac{1}{\text{u}}=\frac{1}{\text{uf}}$
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$\frac{1}{\text{v}^2}-\frac{1}{\text{u}}=\frac{1}{\text{f}}$
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$\frac{1}{\text{v}-\text{t}}-\frac{1}{\text{u}+\text{t}}=\frac{1}{\text{f}}$
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$\frac{1}{\text{v}}-\frac{1}{\text{u}}+\frac{\text{t}}{\text{uv}}=\frac{\text{t}}{\text{f}}$
A point source of light is placed in front of a plane mirror:
- All the reflected rays meet at a point when produced backward.
- Only the reflected rays close to the normal meet at a point when produced backward.
- Only the reflected rays making a small angle with the mirror, meet at a point when produced backward.
- Light of different colours make different images.
Consider three converging lenses L1, L2 and L3 having identical geometrical construction. The index of refraction of L1 and L2 are $\mu_1$ and $\mu_2$ respectively. The upper half of the lens L3 has a refractive index $\mu_1$ and the lower half has $\mu_2$. A point object O is imaged at O1 by the lens L1 and at O2 by the lens L2 placed in same position. If L3 is placed at the same place:
View full solution →- There will be an image at O1
- There will be an image at O2
- The only image will form somewhere between O1 and O2
- The only image will form away from O2.
Two concave lenses L1 and L2 are kept in contact with each other. If the space between the two lenses is filled with a material of refractive index $\mu\approx1,$ the magnitude of the focal length of the combination:
View full solution →- Becomes undefined.
- Remains unchanged.
- Increases.
- Decreases.
Lenses are constructed by a material of refractive index 1.50. The magnitude of the radii of curvature are 20cm and 30cm. Find the focal lengths of the possible lenses with the above specifications.
A point source S is placed midway between two converging mirrors having equal focal length f. Find the values of d for which only one image is formed.
A converging mirror M1, a point source S and a diverging mirror M2 are arranged as shown in figure. The source is placed at a distance of 30cm from M1. The focal length of each of the mirrors is 20cm. Consider only the images formed by a maximum of two reflections. It is found that one image is formed on the source itself.
- Find the distance between the two mirrors.
- Find the location of the image formed by the single reflection from M2.
Light is incident from glass $(\mu=1.50)$ to water $(\mu=1.33).$ Find the range of the angle of deviation for which there are two angles of incidence.
View full solution →k transparent slabs are arranged one over another. The refractive indices of the slabs are $\mu_1,\mu_2,\mu_3, \ ...\mu_{\text{k}}$ and the thicknesses are t1, t2, t3, ... tk . An object is seen through this combination with nearly perpendicular light. Find the equivalent refractive index of the system which will allow the image to be formed at the same place.
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