Home
Class 12
PHYSICS
A transparent solid sphere of radius 2 c...

A transparent solid sphere of radius `2 cm` and density `rho` floats in a transparent liquid of density `2rho` kept in a beaker. The bottom of the beaker is spherical in shape with radius of curvature `8 cm` and is silvered to make it concave mirror as shown in the figure. When an object is placed at a distance of `10 cm` directly above the centre of the sphere C, its final image coincides with it. Find h (as shown in the figure ), the height of the liquid surface in the beaker from the apex of the bottom. Consider the paraxial rays only. The refractive index of the sphere is `3//2` and that of the liquid is `4//3.`

Text Solution

Verified by Experts

The correct Answer is:
15 cm
Promotional Banner

Similar Questions

Explore conceptually related problems

A convex mirror has its radius of curvature 20 cm. Find the position of the image of an object placed at a distance of 12 cm from the mirror.

The focal length of a concave mirror is 10 cm. Find its radius of curvature.

Will an object of density rho float in a fluid of density 1.5 rho ? If yes what fraction of the object's volume will remain above the fluid?

An object 2.5 cm high is placed at a distance of 10 cm from a concave mirror of radius of curvature 30 cm The size of the image is

A point object is placed at a distance 20 cm from the focus of a concave mirror of radius of curvature 20 cm. Find the distance (in cm) of the image from the focus.

A beaker is filled with a liquid of density rho upto a height h If the beaker is at rest, the mean pressure at the walls is:

Find the position, magnification and nature of the image of an object placed at a distance of 8 cm from a convex mirror of radius of curvature 24 cm.

The co-ordinates of the image of point object P formed by a concave mirror of radius of curvature 20 cm (consider paraxial rays only ) as shown in the figure is

A solid cube of side a and density rho_(0) floats on the surface of a liquid of density rho . If the cube is slightly pushed downward, then it oscillates simple harmonically with a period of

How many solid spherical balls of radius 2cm and be made by melting a solid sphere of radius 8 cm?