There exists a non uniform magnetci fiedl in free space. A charged particle of mass m and velocity v enters the field and comes out after a certain time. Comment with reason about the Kinetic energy of the particle after coming out of the field.

A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The K.E. attained by the particle after moving a distance y is

The blades of a windmill sweep out a circle of area A. (a) If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time f?(b) What is the kinetic energy of the air? (c) Assume that the windmill converts 25% of the wind’s energy into electrical energy, and that A = 30 m^- 2 , v = 36 km/h and the density of air is 1.2 kg m^-3 . What is the electrical power produced?

A charged particle of mass m and charge q moving with velocity [v = 3i+ 4j - 2k] enters a magnetic field [B = 2i - 5j + 3k ]at right angles to the direction of bar(B) . Find the expression of the force experienced by the particle.

A charged particle of mass m and charge q is projected with velocity nu making in angle theta with the direction of a uniform magnetic field of induction B. Find the expression for- Pitch of the helical path followed by the particle.

A charged particle of mass m and charge q is projected with velocity nu making in angle theta with the direction of a uniform magnetic field of induction B. Find the expression for- Time period of revolution

Define the co-efficient of restitution. A particle of a mass m moving with a velocity u struck head-on against another particle of mass Km at rest.After collision the particles move with velocities V1 and V2 respectively.If the collision is prefectly elastic.Prove that the loss of kinetic energyof the particle with mass m is maximum when k=1.

A particle of mass 10 g executing SHM has a velocity of 6cm s^(-1) after one second of its starting from the mean position. If the time period is 6 seconds, find its maximum kinetic energy.