Reflection Of Light By Spherical Mirrors

An object is placed at a distance from the pole of a convex mirror of focal length . The image is produced at :

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of is suspended from the wire. When this mass is replaced by a mass , the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of

A spherical ball of mass kg is stationary at the top of a hill of height m. It rolls down a smooth surface to the ground, then climbs up another hill of height m and finally rolls down to a horizontal base at a height of m above the ground. The velocity attained by the ball is:

A simple pendulum doing small oscillations at a place height above the Earth's surface has a time period of . would be its time period if it is brought to a point which is at a height from the Earth's surface. Choose the correct relation [ = radius of Earth]: