Home
Class 12
PHYSICS
A solid glass sphere with radius R and a...

A solid glass sphere with radius R and an index of refraction `1.5` is silvered over one hemisphere. A small object is located on the axis of the sphere at a distance 2R to the left of the vertex of the unsilvered hemisphere. Find the position of final image after all refractions and reflection have taken place.

Text Solution

AI Generated Solution

To solve the problem of finding the position of the final image formed by a solid glass sphere with a silvered hemisphere, we will follow these steps: ### Step 1: Understand the Setup We have a solid glass sphere with radius \( R \) and an index of refraction \( n = 1.5 \). One hemisphere is silvered, and a small object is located on the axis of the sphere at a distance \( 2R \) to the left of the vertex of the unsilvered hemisphere. ### Step 2: Identify the Object Distance The object distance \( U \) from the vertex of the unsilvered hemisphere is \( -2R \) (negative because it is to the left of the vertex). ...
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Exercise 31.1|3 Videos

  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Exercise 31.2|2 Videos

  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Example Type 11|3 Videos

  • REFLECTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Subjective|9 Videos

  • SEMICONDUCTORS

    DC PANDEY ENGLISH|Exercise Subjective|12 Videos

Similar Questions

Explore conceptually related problems

A glass hemisphere of radius R and of material having refractive index 1.5 is silvered on its flat face as shown in figure., A small object of height h is located at a distance 2R from the surface of hemisphere as shown in the figure. The final image will form.

A hemispherical portion of the surface of a solid glass sphere (mu = 1.5) of radius r is silvered to make the inner side reflecting. An object is placed on the axis of the hemisphere at a distance 3r from the centre of the sphere. The light from the object is refracted at the unsilvered part, then reflected from the silvered part and again refracted at the unsilvered part. Locate the final image formed.

In the figure shown , a point object O is placed in air on the principal axis. The radius of curvature of the spherical surfaces is 60 cm. I is the final image formed after all reflections and refractions.

A glass hemispher of refractive index 4//3 and of radius 4 cm is placed on a plane mirror. A point object is placed on axis of this sphere at a distance 'd' from O as shown in the figure. If the final image is formed at infinity, then find the value of d in mm .

A point object is situated at a distance of 36 cm from the centre of the sphere of radius 12 cm and refractive index 1.5. Locate the position of the image due to refraction through sphere.

A glass hemisphere (mu=1.5) has a radius of curvature of 16 cm. A small object O is located on its axis halfway between the plane and spherical surface. The distance between two images , when viewed along the axis from the sides of the hemisphere is

A hollow sphere made of a transparent material of refractive index 1.5 has a small mark on its surface as shown. The mark is observed from the farther side. Find the distance of the image of mark from the centre of the sphere.

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface . A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

An object is at a distance of d=2.5 cm from the surface of a glass sphere with a radius R=10 cm. Find the position of the final image produced by the sphere. The refractive index of glass is mu_ = 1.5.

Consider a sphere of radius R made of glass of refractive index mu . A small object moves along the dismeter with a constant velocity u. Find the velocity of the image as seen by an observer outside when the object passes through center.