A person can see objects clearly between \(1~\text{m} \)and \(3~\text{m}. \). The power of the lens required to correct near point will be:
1. \(-2.5~\text{D}\)
2. \(3~\text{D}\)
3. \(+ 1.5~\text{D}\)
4. \(- 1.75~\text{D}\)

Subtopic:  Human Eye |
 67%
Level 2: 60%+
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In the case of a compound microscope, the image formed by the objective lens is:

1. Virtual, erect, and diminished.
2. Real, erect, and magnified.
3. Virtual, inverted, and enlarged. 
4. Real, inverted, and enlarged.

Subtopic:  Simple & Compound Microscope |
 73%
Level 2: 60%+
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Two slabs \(P\) & \(Q\) of transparent materials have a thickness in the ratio \(2:5\). If a ray of light takes the same amount of time to move from \(A\) to \(B\) and \(B\) to \(C\), then the refractive index of \(Q\) with respect to \(P\) will be:

   

1. \(0.4\)
2. \(2.5\)
3. \(1.4\)
4. \(1.85\)

Subtopic:  Refraction at Plane Surface |
 66%
Level 2: 60%+
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In the following diagram, what is the distance \(x\) if the radius of curvature is \(R= 15​​\text{cm}?\)

    

1. \(30​​\text{cm}\) 2. \(20​​\text{cm}\)
3. \(15​​\text{cm}\) 4. \(10​​\text{cm}\)  
Subtopic:  Refraction at Curved Surface |
 79%
Level 2: 60%+
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In the diagram shown below, the image of the point object \(O\) is formed at \(l\) by the convex lens of focal length \(20~\text{cm},\)  where \(F_1\) and \(F_2\) are foci of the lens. The value of \(x'\) is:
        

1. \(10~\text{cm}\) 2. \(20~\text{cm}\)
3. \(30~\text{cm}\) 4. \(40~\text{cm}\)
Subtopic:  Lenses |
 73%
Level 2: 60%+
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A glass slab is placed with the right-angled prism as shown in the figure. The possible value of \(\theta\) such that light incident normally on the prism does not pass through the glass slab is:

1. \(30^\circ\) 2. \(37^\circ\)
3. \(45^\circ\) 4. Both (1) & (2)
Subtopic:  Total Internal Reflection |
Level 3: 35%-60%
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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 |
 73%
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 |
 56%
Level 3: 35%-60%
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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 |
 67%
Level 2: 60%+
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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 |
 83%
Level 1: 80%+
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