A planet is revolving around the sun in a circular orbit with a radius $$r$$. The time period is $$T$$. If the force between the planet and star is proportional to $$r^{-3 / 2}$$, then the square of time period is proportional to
The weight of a body on the surface of the earth is 63 N. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
A block of rectangular size of mass $$m$$ and area of cross-section $$A$$, floats in a liquid of density $$\rho$$. If we give a small vertical displacement from equilibrium, it undergoes SHM with time period $$T$$, then
A steel rod 100 cm long is damped at into middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in sound is steel?