A graph is plotted between the angle of deviation \(\delta\) in a triangular prism and the angle of incidence as shown in the figure. Refracting angle of the prism is:

        

1. \(28^\circ~\) 2. \(48^\circ~\)
3. \(36^\circ~\) 4. \(46^\circ~\)

Subtopic:  Prisms |
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Level 2: 60%+
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Three identical thin convex lenses are kept as shown in the figure. A ray passing through the lens is shown. The focal length of each lens is:

           

1. \(5\) cm 2. \(10\) cm
3. \(15\) cm 4. \(20\) cm
Subtopic:  Lenses |
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The following diagram shows a glass sphere of radius \(10~\text{cm}\) with a paraxial incident ray. The refractive index of the material of the glass is:

     
1. \(2\)
2. \(1.5\)
3. \(1.75\)
4. \(1.3\)

Subtopic:  Refraction at Curved Surface |
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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 |
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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 |
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The focal lengths of the objective and eyepiece of a compound microscope are \(2​​\text{cm}\) and \(6.25​​\text{cm}\) respectively. An object \(AB\) is placed at a distance of \(2.5​​\text{cm}\) from the objective which forms the image \(A'B'\) as shown in the figure. The maximum magnifying power in this case, will be:
          

1. \(10\) 2. \(20\)
3. \(5\) 4. \(25\)
Subtopic:  Simple & Compound Microscope |
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A concave lens of focal length \(25~\text{cm}\) produces an image \(\frac{1}{10}\text{th}\) of the size of the object. The distance of the object from the lens is:

1. \(225~\text{cm}\) 2. \(250~\text{cm}\)
3. \(150~\text{cm}\) 4. \(175~\text{cm}\)
Subtopic:  Lenses |
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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 |
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A mark on the surface of the sphere \(\left(\mu= \frac{3}{2}\right)\) is viewed from a diametrically opposite position. It appears to be at a distance \(15~\text{cm}\) from its actual position. The radius of the sphere is:
1. \(15~\text{cm}\)
2. \(5~\text{cm}\)
3. \(7.5~\text{cm}\) 
4. \(2.5~\text{cm}\)

Subtopic:  Refraction at Curved Surface |
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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 \(\mu= 1.5\)) making an incidence angle of \(60^{\circ}\) 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. \(3.33~\mu\text{s}\)
2. \(6.67~\mu\text{s}\)
3. \(5.77~\mu\text{s}\)
4. \(3.85~\mu\text{s}\)

Subtopic:  Total Internal Reflection |
Level 4: Below 35%
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