Moving Charges and Magnetism

A galvanometer having a coil resistance of 60 shows full scale deflection when a current of 1.0 amp passes through it. It can be converted into an ammeter to read currents up to 5.0 amp by

1. putting in series a resistance of 15
2. putting in series a resistance of 240
3. putting in parallel a resistance of 15
4. putting in parallel a resistance of 240

The magnetic force acting on a charged particle of charge -2 C in a magnetic field of 2 T acting in y direction, when the particle velocity is (2 i + 3 j) 106 m s-1, is

1. 4 N in z direction
2. 8 N in y direction
3. 8 N in z direction
4. 8 N in -z direction

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

1. depends on R and not on v
2. is independent of both v and R
3. depends on both v and R
4. depends on v and not on R

A particle of mass m, charge Q and kinetic energy T enters a transverse uniform magnetic field of induction B. After 3 seconds the kinetic energy of the particle will be

1. T
2. 4 T
3. 3 T
4. 2 T

A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are F1, F2 and F3 respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is [figure]

1. (F3 - F1)2 - F22
2. F3 - F1 + F2
3. F3 - F1 - F2
4. (F3 - F1)2 + F22

A galvanometer of resistance 50 is connected to a battery of 3 V along with a resistance of 2950 in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be

1. 6050
2. 4450
3. 5050
4. 5550

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

1. depends on R and not on v
2. is independent of both v and R
3. depends on both v and R
4. depends on v and not on R

The resistance of an ammeter is 13 and its scale is graduated for a current upto 100 amps. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 amperes by this meter. The value of shunt-resistance is

1. 2
2. 0.2
3. 2 k
4. 20

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment is given by

1. qvR2
2. qvR2/2
3. qvR
4. qvR/2

A beam of electron passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move

1. in a circular orbit
2. along a parabolic path
3. along a straight line
4. in an elliptical orbit