Calculate the velocity of an electron having kinetic energy 1 MeV.
n identical drops of water, each of radius r_{2}, coalesce to form a large drop of radius R. Calculate the energy released in the process and the consequent rise in temperature of water.
Explain clearly why Young's modules Y of a material determines the resistance to bending of a thin rod made of that material. Derive the expression for the work done when a wire of length l and cross-sectional area A is stretched by an amount x(\le l) under a given load corresponding to equilibrium at stretching x.
A solid sphere of mass 6\text{ kg}, diameter 20\text{ cm}, and uniform density rolls over a surface with a speed of 2\text{ ms}^{-1}. Calculate its kinetic energy.
The orbit of the earth is an ellipse wite eccentricity 0.0167. Determine the ratio of the maximum speed of the earth to its minimum speed.
Calculate the mass of the Sun, given the distance of the Earth from the sun to be 1.5 \times 10^{8}\text{ km}.
A neutron having kinetic energy E collides head on with a {}_{6}^{12}\text{C} nucleus and rebounds perfectly elastically in the direction from which it came. Determine the kinetic energy of the neutron after collision.
A rocket is fired vertically up. During the burning of the engine, which lasts for 50\text{ s}, a constant acceleration of 2.0\text{ g} is observed. What is the speed of the rocket at the end of 50\text{ s}? Calculate the maximum height to which the rocket will rise before it begins to fall back. Take = g = 9.80\text{ ms}^{-2} and neglect the variation of g with height.
Write a note on Bernoulli's theorem and its applications.