A convex mirror of focal length \(f\) forms an image which is \(\frac{1}{n}\) times the length of the object. The distance of the object from the mirror is:
1. \((n-1)f\)
2. \(\left( \frac{n-1}{n} \right)f\)
3. \(\left( \frac{n+1}{n} \right)f\)
4. \((n+1)f\)

Subtopic:  Reflection at Spherical Surface |
 62%
From NCERT
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A mark on the surface of sphere (µ = 3/2) is viewed from a diametrically opposite position. It appears to be at a distance \(15~\mathrm{cm}\) from its actual position. The radius of sphere is:
1. 15 cm
2. 5 cm
3. 7.5 cm
4. 2.5 cm

Subtopic:  Refraction at Curved Surface |
 53%
From NCERT
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A light ray from the air is incident (as shown in the figure) at one end of glass fibre (refractive index µ = 1.5) making an incidence angle of 60° on the lateral surface so that it undergoes a total internal reflection. How much time would it take to traverse the straight fibre of a length of 1 km?
   
1. 3.33 μs

2. 6.67 μs

3. 5.77 μs

4. 3.85 μs

Subtopic:  Total Internal Reflection |
From NCERT
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Choose the correct mirror image of the figure:
    

1. 2.
3. 4.
Subtopic:  Reflection at Plane Surface |
 77%
From NCERT
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If there had been one eye of a man, then:

1. image of the object would have been inverted
2. visible region would have decreased
3. image would have not been seen in three dimensional
4. Both (2) and (3)

Subtopic:  Human Eye |
 55%
From NCERT
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The near point of a person is 50 cm and the far point is 1.5 m. The spectacles required for reading purposes and for seeing distant objects are respectively:

1. + 2D, \(-\frac{2}{3}~D\)
2. \(+\frac{2}{3}~D\), - 2 D

3. - 2 D, \(+\frac{2}{3}~D\)

4. \(-\frac{2}{3}~D\), + 2 D

Subtopic:  Human Eye |
 71%
From NCERT
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A concave lens of focal length 25 cm produces an image 110th the size of the object. The distance of the object from the lens is:

1. 225 cm

2. 250 cm 

3. 150 cm 

4. 175 cm

Subtopic:  Lenses |
 82%
From NCERT
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Focal lengths of objective and eyepiece of a compound microscope are 2 cm and 6.25 cm respectively. An object AB is placed at a distance of 2.5 cm from the objective which forms the image A'B' as shown in the figure. Maximum magnifying power in this case, will be:
       

1. 10 2. 20
3. 5 4. 25
Subtopic:  Simple & Compound Microscope |
 68%
From NCERT
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If the space between two convex lenses of glass in the combination shown in the figure below is filled with water, then:
          

1. the focal length of the system will decrease.
2. the focal length of the system will increase.
3. the power of the system will increase.
4. the power of the system will become infinite.

Subtopic:  Lenses |
 62%
From NCERT
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An astronomical telescope has angular magnification of 20 in its normal adjustment. Focal length of eyepiece is 4 cm. Distance between objective and eyepiece is:

1. 80 cm

2. 84 cm

3. 76 cm

4. 90 cm

Subtopic:  Telescope |
 82%
From NCERT
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