A person can see objects clearly between 1 m and 3 m. The power of lens required to correct near point will be:

1.  $-$2.5 D

2.  + 3 D

3.  + 1.5 D

4.  $-$1.75 D

In the case of a compound microscope, the image formed by the objective lens is:

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

In the following diagram, what is the distance x if the radius of curvature is R = 15 cm?

1. 30 cm

2. 20 cm

3. 15 cm 

4. 10 cm 

In the diagram shown below, the image of the point object O is formed at \(l\) by the convex lens of focal length 20 cm, where \(F_1\) and \(F_2\) are foci of the lens. The value of \(x'\) is:
        

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:

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:

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:

The following diagram shows a glass sphere of radius \(10~\mathrm{cm}\) 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

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