Suppose the average mass of raindrops is `3.0 xx 10^-5` kg and their average terminal velocity `9 ms^-1`. Calculate hte energy transferred by rain to each square metre of the surface at a place which receives 100 cm of rain in a year.

The mass of an electron is 9.1 xx 10 ^(-31) kg . If its K. E. is 3. 0 xx 10 ^(-25) J, calculate its wavelength.

A ball of mass 0.5 kg slows down from a speed of 5ms^-1 to 3ms^-1 , calculate the change in the kinetic energy of the ball.

Four sphere each of mass 10 kg and of radius 20 cm are placed at the four cornes of a square of side 100 cm. Calculate the moment of inertia of the system about an axis coinciding with diagonal of the square. (given moment of inertia of sphere = 2/5 MR^2 )

Four sphere each of mass 10 kg and of radius 20 cm are placed at the four cornes of a square of side 100 cm. Calculate the moment of inertia of the system about an axis coinciding with side of the square (given moment of inertia of sphere = 2/5 MR^2 )

A bullet of mass 0.03 kg is fired from a gun of mass 3 kg which leaves the muzzle of the gun write a velocity of 100ms^(-1) . If bullet takes 0.003 s to come out of the gun then calculate the force acting on the gun.

A rocket of 3 xx10^6 kg mass takes off from a launching pad and acquires a vertical velocity of 1 km/s at an altitude of 25 km. Calculate the potential energy, and the kinetic energy.

If p_0 = 1.03 xx 10^5 N m^-2, rho_0 = 1.29 kg m^-3 and g = 9.8 m s^-2 , at what height will the pressure drop to (1/10) the value at the surface of the earth?

In a parallel plate capacitor with air between the plates, each has an area of 6xx10^-3m^-2 and the distance between the platesw is 3mm. Calculate the capacitance of the capacitor, If this capacitor is Connected to 100 V supply, what is the charge on each plate of the capacitor? (Given varepsilon_0=8.5xx10^-12C^2N^-1m^-2)

The oxygen molecule has a mass of 5.30 xx 10^-26 kg and a moment of inertia of 1.94xx10^-46 kg m^2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m//s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.