A ball of mass `10^(-2) kg` and having charge `+ 3 xx 10^(-6)C` is tied at one end of a `1m` along thread. The other end of the thread is fixed and a charge `- 3 xx 10^(-6) C` is placed at this end. The ball can move in the circulr orbit of radius `1m` in the vertical plane. Initially, the ball is at the bottom. Find the monimum initial horizontal velocity of the ball, so that it will be able to complete the full circle.

A particle of mass 6.4xx10^(-27) kg and charge 3.2xx10^(-19)C is situated in a uniform electric field of 1.6xx10^5 Vm^(-1) . The velocity of the particle at the end of 2xx10^(-2) m path when it starts from rest is :

A ball of mass 100g and having a charge of 4.9xx 10^(-5) C is released from rest in a region where a horizontal electric field of 2.0 xx 10^4 NC^(-1) exists. (a) find the resultant force acting on the ball. (b) What will be the path of the ball ? (c ) Where will the ball be at the end of 2 s?

A proton of mass 1.67 xx 10^(-27) kg and charge 1.6 xx 10^(-19) C is shot a uniform magnetic field, and perpendicular to the field with a velocity 5 xx 10^(6) m//s . If the magnetic induction of the field is 1 tesla, find (i) The radius of the circular path

A particle of mass m and charge q is attached to a light insulating thread of length L. The other end of the thread is secured at point O. Exactly below point O, there is a small ball having charge Q fixed on an insulating horizontal surface. The particle remains in equilibrium vertically above the ball with the string taut. Distance of the ball from point O is L. Find the minimum value of Q for which the particle will be in a stable equilibrium for any gentle horizontal push given to it.

A simple pendulum consisting of a ball of mass m tied to a thread of length l is made to swing on a circular arc of angle q in a vertical plane. At the end of this arc, another ball of mass m is placed at rest. The momentum transferred to this ball at rest by the swinging ball is

A pith ball carrying a charge of 3 xx 10^(-10) C is suspended by an insulated thread of length 50 cm .When a uniform electric filed is applied in a horizontal direction , the ball is found to deflect by 2 cm from the vertical. If the mass of the ball is 0.5 gm , the intensity of the electric field is :

A ball of mass 1kg moving with a velocity of 15m // s undergoes a head on elastic collision with another ball of unknown mass at rest, and rebound with a velocity of 10m//s . What is the mass of the other ball?

An alpha particle of charge 3.2 xx 10 ^(-19) C and mass 6.8 xx 10 ^(-27) Kg is initially moving at speed 10 ^(7) m/s when it is at far distance from another fixed point charge 112 xx 10 ^(-19) C . Find the distance of closest approach.