## Question

####

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

### Solution

Correct option is
50 cm

This is possible when the rays are incident on the mirror normally, i.e., the image by the lens is formed at the centre of curvature of the mirror.

From figure, the distance of mirror from lens

#### SIMILAR QUESTIONS

Q1

A double convex lens of focal length 6 cm is made of glass of refractive index 1.5. The radius of curvature of one surface is double that of the other surface. The value of smaller radius of curvature is:

Q2

Diameter of a plano-convex lens is 6 cm and thickness at the centre is 3 mm. If the speed of light in the material of the lens is , the focal length of the lens is:

Q3

A luminous point is moving at speed *v*_{0} towards a spherical mirror, along its axis. Then the speed at which the image of this point object is moving is given by (with *R* = radius of curvature and *u* = object distance):

Q4

A slide projector gives a magnification of 10. If it projects a slide of dimensions 3 cm × 2 cm on a screen, the area of the image on the screen will be:

Q5

An equiconvex glass lens (a) has a focal length *f* and power *P*. It is cut into two symmetrical halves (b) by a plane containing the principal axis. The two pieces are recombined as shown in fig. (c) The power of new combination is:

Q6

Given There is an equiconvex lens with radius of each surface equal to 20 cm. There is air in the object space and water in the image space. The focal length of lens is:

Q7

A real image is formed by a convex lens. If we put it in contact with a concave lens and the combination again forms a real image, which of the following is true for the new image from the combination?

Q8

Focal length of a convex lens will be maximum for:

Q9

A concave mirror is focal length *f* in air is used in a medium of refractive index 2. What will be the focal length of the mirror in the medium?

Q10

The far-point of a short-sighted eye is 200 cm. The power of the lens is: