Question

When a metallic sphere is released from the surface of water filled in a container of uniform area of cross section it is found to reach the bottom of the container in 2 seconds. If the density of the marerial of the sphere is 4.9g/cm3, calculate the pressure exerted by the liquid at the bottom of the container. Assume that that only gravitational force and upthrust act on the body

Answer 1

Answer:

The time period of the pendulum

T=2π✓ l/g

⇒T∝ ✓l

Initially the centre of mass of the sphere is at the centre of the sphere. As the water slowly flows out of the hole at the bottom, the CM of the liquid (hollow sphere) first goes on downward and then upward. Hence, the effective length of the pendulum first increases and then decreases.