The focal length of the objective lens and the eye lens is \(4~\text{mm}\) and \(25~\text{mm}\) respectively in a compound microscope. The distance between the objective and eyepiece lens is \(16~\text{cm}.\) Its magnifying power for relaxed eye position is:

1.	\(32.75\)	2.	\(327.5\)
3.	\(0.3275\)	4.	None of the above

An observer can see through a pinhole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

(1) $5/2$                                   

(2) $\sqrt{\left(5/2\right)}$

(3) $\sqrt{\left(3/2\right)}$                               

(4) 3/2

In an experiment of find the focal length of a concave mirror a graph is drawn between the magnitudes of u and v.  The graph looks like 

As the position of an object (u) reflected from a concave mirror is varied, the position of the image (v) also varies. By letting the u change from 0 to infinity, the graph between v versus u will be-

The graph between u and v for a convex mirror is

A convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm are kept along the same axis with the distance d between them. If a parallel beam of light falling on A leaves B as a parallel beam, then distance d in cm will be 

(1) 25                         

(2) 15

(3) 30                         

(4) 50

A medium shows relation between \(i\) and \(r\) as shown. If the speed of light in the medium is \(nc\) then the value of \(n\) is:

For a concave mirror, if the virtual image is formed, the graph between m and u is of the form :

A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens, a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?

(1) 12 cm                             

(2) 30 cm

(3) 50 cm                             

(4) 60 cm

Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams