A ray of light is incident on a mirror which is lying on the \(x-y\) plane. The reflected ray travels along the direction of the vector \(3\hat i-4\hat j+2\hat k.\) The incident ray must be along:
1. \(-3\hat i+4\hat j+2\hat k\) 2. \(3\hat i-4\hat j-2\hat k\)
3. \(-3\hat i-4\hat j+2\hat k\) 4. \(-3\hat i+4\hat j-2\hat k\)
Subtopic:  Reflection at Plane Surface |
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Two plane mirrors are inclined at \(70^\circ.\) A ray incident on one mirror at an angle, \(\theta\) after reflection falls on the second mirror and is reflected from there parallel to the first mirror. The value of \(\theta\) is:
1. \(45^\circ\)
2. \(30^\circ\)
3. \(55^\circ\)
4. \(50^\circ\)
Subtopic:  Reflection at Plane Surface |
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A rod of length \(10~\text{cm}\) lies along the principal axis of a concave mirror of focal length \(10~\text{cm}\) in such a way that its end closer to the pole is \(20~\text{cm}\) away from the mirror. The length of the image is:
1. \(15~\text{cm}\) 
2. \(2.5~\text{cm}\)
3. \(5~\text{cm}\)
4. \(10~\text{cm}\)

Subtopic:  Reflection at Spherical Surface |
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An object is placed at a distance of \(40\) cm from a concave mirror of a focal length of \(15\) cm. If the object is displaced through a distance of \(20\) cm towards the mirror, the displacement of the image will be:
1. \(30\) cm away from the mirror.
2. \(36\) cm away from the mirror.
3. \(30\) cm towards the mirror.
4. \(36\) cm towards the mirror.
Subtopic:  Reflection at Spherical Surface |
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Suppose that the lower half of the concave mirror’s reflecting surface in the given figure is covered with an opaque (non-reflective) material. What effect will this have on the image of an object placed in front of the mirror?

            

1. the image will show only half of the object
2. the image will show the whole of the object
3. the intensity of the image will be low
4. both (2) and (3)
Subtopic:  Reflection at Spherical Surface |
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A light ray falls on a glass surface of refractive index \(\sqrt{3}\), at an angle of \(60^\circ.\) The angle between the refracted and reflected rays would be:
1. \(120^\circ\) 2. \(30^\circ\)
3. \(60^\circ\) 4. \(90^\circ\)
Subtopic:  Refraction at Plane Surface |
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A beam of light is incident vertically on a glass slab of thickness \(1\) cm, and refractive index \(1.5.\) A fraction \(A\) is reflected from the front surface while another fraction \(B\) enters the slab and emerges after reflection from the back surface. The time delay between them is:

1. \(10^{-10}\) s 2. \(5\times 10^{-10}\) s
3. \(10^{-11}\) s 4. \(5\times 10^{-11}\) s
Subtopic:  Refraction at Plane Surface |
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A ray of light \((1)\) gets reflected partially at the front surface of a thin film of thickness \(t,\) and refractive index \(\mu.\) The reflected ray from the front surface is \(2\) while that emerging due to reflection from the rear surface is \(3.\) Assume that ray \(1\) is incident normally. The optical path difference between rays \(2\) and \(3\) is:
                 
1. \((\mu-1)t\)
2. \(2(\mu-1)t\)
3. \(\mu t\)
4. \(2\mu t\)
Subtopic:  Refraction at Plane Surface |
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A ray of light passes through three parallel media, with the angles of incidence and emergence as shown in the figure. The refractive indices of the media are \(\mu_{1}\) = 1, \(\mu_{2}\) and \(\mu_{3}\).
                
Then:
1. \(\mu_{2}=\frac{1}{3},~\mu_{3}=\frac{1}{2}\)    2. \(\mu_{2}=3,~\mu_{3}=\frac{3}{2}\)   
3. \(\mu_{2}=\frac{1}{3},~\mu_{3}=\frac{2}{3}\) 4. \(\mu_{2}=3,~\mu_{3}=2\)
Subtopic:  Refraction at Plane Surface |
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The reddish appearance of the sun at sunrise and sunset is due to:
1. the scattering of light.
2. the polarisation of light.
3. the colour of the sun.
4. the colour of the sky.
Subtopic:  Total Internal Reflection |
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