A light ray enters through a right-angled prism at point \(P\) with the angle of incidence \(30^\circ\) as shown in the figure. It travels through the prism parallel to its base \(BC\) and emerges along the face \(AC.\) The refractive index of the prism is:
1. \({\dfrac{\sqrt5}{2}}\) 2. \({\dfrac{\sqrt3}{4}}\)
3. \({\dfrac{\sqrt3}{2}}\) 4. \({\dfrac{\sqrt5}{4}}\)
Subtopic:  Prisms |
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A small telescope has an objective of focal length \(140~\text{cm}\) and an eyepiece of focal length \(5.0~\text{cm}\) The magnifying power of a telescope for viewing a distant object is:
1. \(28\)
2. \(17\)
3. \(32\)
4. \(34\)
Subtopic:  Telescope |
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If \(i\) is the angle of incidence and \(i'\) is the angle of emergence on a prism, then the relation between \(i\) and \(i'\) to obtain an angle of minimum deviation is:
1. \(i=i'\)
2. \(i>i'\)
3. \(i<i'\)
4. \(i=0\)
Subtopic:  Prisms |
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The graph which shows the correct variation of \(\dfrac{1}{v}\) with \(\dfrac{1}{u}\) for a concave mirror, where \(u\) is the object distance and \(v\) is the image distance, is:
1. 2.
3. 4.
Subtopic:  Reflection at Spherical Surface |
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Time taken by sunlight to pass through a glass slab of thickness \(5~\text{mm}\) and refractive index \(1.5\) is: 
1. \(\left(\dfrac{5}{3}\right) \times 10^{-8}~\text{s}\)
2. \(\left(\dfrac{5}{2}\right) \times 10^{-11}~\text{s}\)
3. \(\left(\dfrac{5}{3}\right) \times 10^{-11}~\text{s}\)
4. \(\left(\dfrac{5}{2}\right)\times 10^{-8}~\text{s}\)
Subtopic:  Refraction at Plane Surface |
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Given below are two statements:

Statement I: Image formation needs regular reflection and/or refraction.
Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.

In the light of the above statements, choose the most appropriate answer from the options given below:
1. Statement I is correct but Statement II is incorrect.
2. Statement I is incorrect but Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Reflection at Plane Surface |
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Light travels a distance \(x\) in time \(t_1\) in air and \(10x\) in time \(t_2\) in another denser medium. What is the critical angle for this medium?
1. \(\sin ^{-1}\left(\frac{10 t_1}{t_2}\right) \)
2. \(\sin ^{-1}\left(\frac{ t_2}{t_1}\right) \)
3. \(\sin ^{-1}\left(\frac{10 t_2}{t_1}\right) \)
4. \(\sin ^{-1}\left(\frac{ t_1}{10t_2}\right) \)
Subtopic:  Total Internal Reflection |
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In the figure shown here, what is the equivalent focal length of the combination of lenses?
(Assume that all layers are thin)
          
1. \(-50~\text{cm}\)
2. \(40~\text{cm}\)
3. \(-40~\text{cm}\)
4. \(-100~\text{cm}\)
Subtopic:  Lens Makers' Formula |
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Two thin lenses are of the same focal lengths (\(f\)), but one is convex and the other one is concave. When they are placed in contact with each other, the equivalent focal length of the combination will be:
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
Subtopic:  Lenses |
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A lens is made up of \(3\) different transparent media as shown in the figure. A point object \(O\) is placed on its axis beyond \(2f\). How many real images will be obtained on the other side?
        
1. \(2\)
2. \(1\)
3. No image will be formed
4. \(3\)
Subtopic:  Lenses |
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