A sphere of catius r is kept on a concave of mirror radius of curation `R`. The arrangement a kept on a horizontal tavke (the surface of concave mirror is fricationless and sliding not rolling). If the sphere is displaced from its equilibrium position and left, then it executes `S.h.M.` The period of oscillation will be

A sphere of radius r is kept on a concave mirror of radius of curation R . The arrangement is kept on a horizontal surface (the surface of concave mirror is friction less and sliding not rolling). If the sphere is displaced from its equilibrium position and left, then it executes S.h.M. The period of oscillation will be

A uniform plank of length l and mass m is balanced on a fixed semi-circular plate of radius R as shown in the figure. If the plank is tilted slightly from its equilibrium position, and released, prove that it will execute S.H.M find the period of its oscillation.

A thin-walled tube of mass m and radius R has a rod of mass m and vry small cross section soldered on its inner surface. The side-view of the arrangement is as shown in the following figure. The entire arrangement is placed on a rough horizontal surface. The system is given a small angular displacement from its equilibrium position, as a result, the system performs oscillations. The time period of resulting oscillations if the tube rolls without slipping is

A thin-walled tube of mass m and radius R has a rod of mass m and vry small cross section soldered on its inner surface. The side-view of the arrangement is as shown in the following figure. The entire arrangement is placed on a rough horizontal surface. The system is given a small angular displacement from its equilibrium position, as a result, the system performs oscillations. The time period of resulting oscillations if the tube rolls without slipping is

A small sphere is placed on a concave mirror of radius of curvature 'R' a little away from the centre.When the sphere is released it oscillates.Assuming the oscillation to be simple harmonic its time period is

A small lead sphere is made to execute shm inside a concave dish of radius of curvature 1 m. What is its period ?

A concave mirror of radius R is kept on a horizontal table. Water (refractive index =mu.) is poured into it up to a height h. Where should an object be placed so that its image is formed on itself ?

A concave mirror of radius R is kept on a horizontal table. Water (refractive index =mu.) is poured into it up to a height h. Where should an object be placed so that its image is formed on itself ?