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.

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.

There is a sphere of radius R and refractive index mu . At what distance from the surface of sphere should an object be placed so that real image is formed at the same distance from the sphere ?

A solid hemispherical bowl of radius R, made of glass, is placed on a flat horizontal surface with its curved surface on the ground. A small object is placed under the hemisphere at the center of the curved surface. If an observer sees the object directly above the plane surface, Where will the object appear to be ?

A 20cm thick glass slab of refractive index 1.5 is kept in front of a plane mirror. Find the position of the image (relative to mirror) as seen by an observer through the glass slab when a point object is kept in air at a distance of 40 cm from the mirror.

A small air bubble O (as shown in figure) is formed inside the solid glass sphere of radius 10 cm. The refractive index of glass mu = (3)/(2) . The position of air at distance 5 cm from centre. If one half of sphere is polished. Then find the distance between images seen by observer on the left side of sphere. Assume mu = 1.5 .

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.

There is a glass sphere of radius 20 cm having refractive index 1.5. A point object is embedded inside it at a distance 6 cm to the left of the centre. Locate the image for observer looking from left. Locate the image for observer looking from right.

A sphere of radius R made of material of refractive index mu_(2) is placed in a medium of refractive index mu_(1) . Where would an object be placed so that a real image is formed at equidistant fromk the sphere? ltbgt

A cylinder is filled with a liquid of refractive index mu . The radius of the cylinder is decreasing at a constant rate K . The volume of the liquid inside the container remains constant at V . The observer and the object O are in a state of rest at a distance L from each other. When radius of cylinder is r the apparent velocity of the object as seen by the observer is