# A car is moving on a straight road at a speed of 50 km/h and a truck is ahead of the car and has a large plane mirror fixed vertically on the back of the truck. The truck is running at a speed of 70 km/h. For a stationary observer standing between the car and the truck, what is the speed of the image of the car in the mirror? 1. 40 km/h 2. 70 km/h 3. 20 km/h 4. 90 km/h

Subtopic:  Reflection at Plane Surface |
56%
From NCERT
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A fish at a depth y inside the water is seeing a bird. The bird is at a height x above the water level. If the refractive index of water is $\mathrm{\mu }$, then the apparent distance of bird as seen by the fish is:

1.  x + $\mathrm{\mu }$y

2.  y + $\mathrm{\mu }$x

3.  x + $\frac{\mathrm{y}}{\mathrm{\mu }}$

4.  y + $\frac{\mathrm{x}}{\mathrm{\mu }}$

Subtopic:  Refraction at Plane Surface |
60%
From NCERT
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The magnification of a compound microscope for the final image at the least distance of distinct vision is $$90$$. The magnification of the objective lens is $$15$$. The value of the focal length of the eyepiece will be:
1. $$5$$ cm
2. $$6$$ cm
3. $$1\over6$$ cm
4. $$12$$ cm

Subtopic:  Simple & Compound Microscope |
66%
From NCERT
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When an object is placed at 10 cm and 30 cm from a convex lens, images obtained are of the same magnitude of magnification. The focal length of the lens may be:

 1 10 cm 2 15 cm 3 20 cm 4 25 cm
Subtopic:  Lenses |
55%
From NCERT
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One of the refracting surfaces of a prism is silvered. A ray is incident at an angle $$60^{\circ}$$, such that it retraces its path. The angle of the prism is: ($\mu$ = $\sqrt{3}$)

1. $$30^{\circ}$$

2. $$45^{\circ}$$

3. $$60^{\circ}$$

4. $$75^{\circ}$$

Subtopic:  Prisms |
71%
From NCERT
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A concave lens forms the image of an object such that the distance between the object and image is 10 cm. If magnification of the image is $\frac{1}{4}$, the focal length of the lens is:

1.  $-\frac{20}{3}$ cm

2.  $\frac{20}{3}$ cm

3.  $\frac{40}{9}$ cm

4.  $-\frac{40}{9}$ cm

Subtopic:  Lenses |
60%
From NCERT
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A ray of light incident on a prism of angle A and refractive index $\mu$ will not emerge out of the prism for any angle of incidence, if:

1.  $\mu$ > $\mathrm{sin}\frac{A}{2}$

2.  $\mu$ > cosA

3.  $\mu$ < $\frac{1}{\mathrm{sin}A}$

4.  $\mu$ >  $\frac{1}{\mathrm{sin}\frac{A}{2}}$

Subtopic:  Prisms |
56%
From NCERT
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In normal adjustment, the angular magnification of an astronomical telescope is 39. If length of the tube is 2 m, then focal length of the objective and eyepiece are respectively:

1. 195 cm, 5 cm

2. 190 cm, 10 cm

3. 20 cm, 180 cm

4. 10 cm, 190 cm

Subtopic:  Telescope |
82%
From NCERT
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A ray of light is incident on an equilateral prism at an angle of incidence i such that it is incident normally on other refracting faces. Find 'i'. [Take $\mu$glass =2]

1. $$30^{\circ}$$

2. $$45^{\circ}$$

3. $$60^{\circ}$$

4. Not possible

Subtopic:  Prisms |
59%
From NCERT
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The ratio of the velocity of light in a medium to the velocity of light in a vacuum is $$\frac{4}{5}$$. If the ray of light is emerging from this medium into the air, then the critical angle for this interface of medium and air will be:

 1 $$30^\circ$$ 2 $$37^\circ$$ 3 $$53^\circ$$ 4 $$45^\circ$$
Subtopic:  Total Internal Reflection |
84%
From NCERT
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