Derive an expression for refraction at a single spherical surface
OR
A spherical surface separates two transparent media. Derive an expression that relates object and image distances with the radius of curvature for a point object. Clearly state the assumptions, if any.

Derive an expression for refraction at single spherical surface.

While deriving expression for refraction at single curved, surface, the object is ocnidered as

The correct expression for refraction at single convex spherical surface separating two media of refractive indices mu_(1) and mu_(2) ( mu_(2) gt mu_(1)) and radius of curvature R is ( u and v are object, image distane respectively )

Define escape velocity. Derive an expression for the escape velocity of an object from the surface of the earth. OR Define escape velocity of a body at rest on the earth's surface. Obtain an expression for the same and show that it is independent of the mass of the body. OR Define escape velocity of the body. Obtain an expression for the escape velocity when the body is at rest on the surface of the earth and show that it is independent of the mass of the body.

Derive an expression for time period of a satellite orbiting very close to earth's surface in terms of mean density OR A satellite is in a low-altitude circular orbit around a spherical planet of mean density rho . Show that the period of revolution of the satellites is sqrt(3pi//rhoG)

Answer the following State the relationship between object distance (u), image distance (v) and focal length (f) of a spherical mirror. What is this relationship known as?

A rogid object is rolling down an inclined plane. Derive an expressions for the acceleration along the track and the speed after falling through a certain vertical distance.

Assume that a spherical raindrop evaporates at a rate proportional to its surface area.If its radius originally is 3 mm and one hour later has been reduced to 2 mm,find the expression for the radius of the raindrop at any time t.

A poinit object O is placed in front of a glass rod having spherical end of radius of curvature 30cm . The image would be formed at