In the figure shown the angle made by the light ray with the normal in the medium of refractive index \(\sqrt{2}\) is:
                   
1. \(30^{\circ}\)

2. \(60^{\circ}\)

3. \(90^{\circ}\)

4. None of these

Subtopic:  Refraction at Plane Surface |
 75%
Level 2: 60%+
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A fish is a little away below the surface of a lake. If the critical angle is \(49^{\circ},\) then the fish could see things above the water surface within an angular range of \(\theta^{\circ}\) where:

1. \(\theta = 49^{\circ}\) 2. \(\theta = 90^{\circ}\)
3. \(\theta = 98^{\circ}\) 4. \(\theta = 24\frac{1}{2}^{\circ}\)
Subtopic:  Total Internal Reflection |
 62%
Level 2: 60%+
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A small coin is resting on the bottom of a beaker filled with a liquid. A ray of light from the coin travels up, to the surface of the liquid and moves along its surface (see figure). 
             
How fast is the light traveling in the liquid?
1. \(1.8 \times 10^8 ~\text{m/s}\) 2. \(2.4 \times 10^8~\text{m/s}\)
3. \(3.0 \times 10^8~\text{m/s}\) 4. \(1.2 \times 10^8~\text{m/s}\)
Subtopic:  Total Internal Reflection |
 65%
Level 2: 60%+
AIPMT - 2007
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Match the corresponding entries of Column-I with Column-II.
(Where \(m\) is the magnification produced by the mirror)
Column-I Column-II
A. \(m= -2\) I.  convex mirror
B.  \(m= -\frac{1}{2}\) II. concave mirror 
C.  \(m= +2\) III.  real Image
D. \(m= +\frac{1}{2}\) IV.  virtual Image

Codes:
A B C D
1. I & III I & IV I & II III & IV
2. I & IV II & III II & IV II & III
3. III & IV II & IV II & III I & IV
4. II & III II & III II & IV I & IV
Subtopic:  Reflection at Spherical Surface |
 77%
Level 2: 60%+
NEET - 2016
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An astronomical telescope has an objective and an eyepiece of focal lengths \(40​​\text{cm}\) and \(4​​\text{cm}\) respectively. To view an object \(200​​\text{cm}\) away from the objective, the lenses must be separated by a distance:
1. \(46.0​​\text{cm}\) 2. \(50.0​​\text{cm}\)
3. \(54.0​​\text{cm}\) 4. \(37.3​​\text{cm}\)
Subtopic:  Telescope |
 63%
Level 2: 60%+
NEET - 2016
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A glass sphere \(\left(\mu = \frac{3}{2}\right)\) of radius \(12~\text{cm}\) has a small mark at a distance of \(3~\text{cm}\) from its centre. Where will this mark appear when it is viewed from the side nearest to the mark along the line joining the centre and the mark?
1. \(8~\text{cm}\) inside the sphere 2. \(12~\text{cm}\) inside the sphere
3. \(4~\text{cm}\) inside the sphere 4. \(3~\text{cm}\) inside the sphere
Subtopic:  Refraction at Curved Surface |
 57%
Level 3: 35%-60%
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A ray of light falls on a prism \(ABC\) \((AB= BC)\) and travels as shown in figure. The refractive index of the prism material should be greater than:

                    

1. \(4 /{3}\) 2. \( \sqrt{2}\)
3. \(1.5\) 4. \( \sqrt{3}\)
Subtopic:  Prisms |
 79%
Level 2: 60%+
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The focal length of a glass \((\mu = 1.5)\) lens in air is \(20~\text{cm}.\) If it is dipped in water \(\left(\mu= \frac{4}{3}\right)\) its focal length in water will be:
1. \(80~\text{cm}\) 2. \(40~\text{cm}\)
3. \(60~\text{cm}\) 4. \(20~\text{cm}\)
Subtopic:  Lens Makers' Formula |
 68%
Level 2: 60%+
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When a concave mirror of focal length \(f\) is immersed in water, its focal length becomes \(f',\) then:
1. \(f' = f\)
2.  \(f'<f\)
3.  \(f'>f\)
4.  The information is insufficient to predict
Subtopic:  Reflection at Spherical Surface |
 71%
Level 2: 60%+
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Two convex lenses of focal length \(X\) and \(Y\) are placed parallel to each other. An object at infinity from the first lens forms its image at infinity from the second lens. The separation between the two lenses should be:
1. \(X+Y\) 2. \(\dfrac{X +Y}{2}\)
3. \(X-Y\) 4. \(\dfrac{X -Y}{2}\)
Subtopic:  Lenses |
 70%
Level 2: 60%+
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