The refractive index of the material of a prism is and the angle of the prism is 30°. One of the two refracting surfaces of the prism is made a mirror inwards with a silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if the angle of incidence on the prism is:

1. 60o
2. 45o
3. 30o
4. zero

Subtopic:  Prisms |
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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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An astronomical refracting telescope will have large angular magnification and high angular resolution when it has an objective lens of:-

1. small focal length and large diameter

2. large focal length and small diameter

3. large focal length and large diameter

4. small focal length and small diameter

Subtopic:  Telescope |
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A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of light is found to move through a distance y on the scale. The angle θ is given by 

(1) y2x

(2) yx

(3) x2y

(4) xy

Subtopic:  Reflection at Plane Surface |
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A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by:

1. yx

2. x2y

3. xy

4. y2x

Subtopic:  Reflection at Plane Surface |
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A thin prism having refracting angle 100 is made of glass of refractive index 1.42. This prism is combined with another thin prism of a glass of refractive index 1.7. This combination produces dispersion without deviation. The refracting angle of the second prism should be:

1. 60
2. 80
3. 100
4. 40

Subtopic:  Prisms |
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Two identical glass μg=3/2 equi-convex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water μw=4/3. The focal length of the combination is

(a)  f/3             (b) f

(c) 4f3               (d) 3f4

Subtopic:  Lenses |
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An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and  3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is

(1) 8           

(2) 10

(3) 12         

(4) 16

Subtopic:  Refraction at Plane Surface |
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An astronomical telescope has an objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance of :
(1) 46.0 cm

(2) 50.0 cm  

(3) 54.0 cm

(4) 37.3 cm 

Subtopic:  Telescope |
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Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]

Column 1                         Column 2 
A. m=-2                     a. Convex mirror   
B. m=-1/2                  b. Concave mirror
C. m=+2                    c. Real image
D. m=+1/2                 d. Virtual Image

(1)A->a and c;B->a and d; C->a and b; D->c and d

(2)A->a and d; B->b and c; C->b and d; D-> b and c

(3)A->c and d; B->b and d;C->b and c;D->a and d

(4)A->b and c; B->b and c; C->b and d; D->a and d

Subtopic:  Reflection at Spherical Surface |
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