Moving Charges and Magnetism · Question 42

A long straight wire carries a certain current and produces a magnetic field 2 10-4 Wb m-2 at a perpendicular distance of 5 cm from the wire. An electron situated at 5 cm from the wire moves with a velocity 107 m/s towards the wire along perpendicular to it. The force experienced by the electron will be (charge on electron 1.6 10-19 C)

1. 3.2 N
2. 3.2 10-16 N
3. 1.6 10-16 N
4. zero

A circular coil ABCD carrying a current 'i' is placed in a uniform magnetic field. If the magnetic force on the segment AB is F, the force on the remaining segment BCDA is [figure]

1. - F
2. 3 F
3. -3 F
4. F

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an -particle to describe a circle of same radius in the same field?

1. 2 MeV
2. 1 MeV
3. 0.5 MeV
4. 4 MeV

Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. The resultant magnetic field induction at the centre will be

1. 5 0I2R
2. 5 0IR
3. 0I2R
4. 0IR

A millivoltmeter of 25 millivolt range is to be converted into an ammeter of 25 ampere range. The value (in ohm) of necessary shunt will be

1. 0.001
2. 0.01
3. 1
4. 0.05

An alternating electric field, of frequency , is applied across the dees (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by

1. B = m e and K = 2m 2 2R2
2. B = 2 e and K = m2 2
3. B = 2 e and K = 2m 2 2R2
4. B = m e and K = m2 2

A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is

1. G(S+G)
2. S2(S+G)
3. ( SGS+G )
4. G2(S+G)

Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the centre of the ring is

1. 0 qf2 R
2. 0 qf2R
3. 0 q2fR
4. 0 q2 fR

A square loop, carrying a steady current I, is placed in a horizontal plane near a long straight conductor carrying a steady current I1 at a distance d from the conductor as shown in figure. The loop will experience [figure]

1. a net attractive force towards the conductor
2. a net repulsive force away from the conductor
3. a net torque acting upward perpendicular to the horizontal plane
4. a net torque acting downward normal to horizontal plane

A thermocouple of negligible resistance produces an e.m.f. of 40 / C in the linear range of temperature. A galvanometer of resistance 10 ohm whose sensitivity is 1 /division, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be

1. 1
2. 0.5
3. 0.1
4. 0.25