Magnetic fields - motion of charged particles

In a mass spectrograph, ions of isotopes of the same element follow different semicircular paths in a uniform magnetic field as shown below.

The difference is essentially [in normal operation Ed.] due to the fact that the ions have different values of....

a ... charge only.

b ... mass only.

c ... mass and charge.

d ... mass and speed.

Answer


A charged particle enters a region of uniform magnetic field and travels in a circular arc.

If the particle were to be injected with a greater speed, what would be true of the magnetic force on it and the radius of the path?

   Force  Radius
 a  greater  greater
 b  greater  smaller
 c  smaller   greater
 d  smaller  smaller

Answer


An electron and a proton traveling with the same velocity are injected into a region of uniform magnetic field at 90° to the magnetic field direction.

The initial magnetic forces on them are....

a ... equal in magnitude and direction.

b ... equal in magnitude and opposite in direction.

c ... Equal in magnitude and perpendicular to each other.

d ... in opposite directions and differing in magnitude by the ratio of their masses.

Answer


A straight conductor carries current into the page as shown.

Which diagram best represents the magnetic field pattern around the conductor?

Answer


The figure shows a region of uniform magnetic field directed in to the page. A charged particle follows a clockwise spiral path of decreasing radius as shown.

The best explanation for this is that the particle is....

a ... positively charged and slowing down.

b ... negatively charged and slowing down.

c... positively charged and speeding up.

d... negatively charged and speeding up.

Answer


Four long straight parallel wires carry equal current directed out of the page. They are arranged on the corners of a square as a shown in the diagram.

The direction of the resultant magnetic force on the wire labeled X is....

a ... south.

b ... north.

c ... west.

d ... east.

Answer


A sample of wire is coiled to make a solenoid, of length, L, and diameter, D. When a given current flows in the wire, the magnetic field strength in the solenoid in B.

The coils of this solenoid are now unwound and the same sample of wire is used to produce a new solenoid of half the diameter (D/2), and twice the length, (2L). If the new solenoid carries the same current as before, the field strength in the solenoid will be....

a B/2

b B

c 2B

d 4B

Answer


A charged particle is moving in a circular path in a magnetic field. If the speed of the particle were to be doubled, what would happen to the radius of the path?

a It would be halved.

b It would remain unchanged.

c It would double.

d It would quadruple.

Answer


Two long parallel current-carrying wires exert forces on each other.

If each of the currents is doubled, and also reversed in direction, then the forces ...

a ... will double and their directions will remain as before.

b ... will double and their directions will reverse.

c ... will quadruple and their directions will remain as before.

d ... will quadruple and their directions will reverse.

Answer


Electrons are ejected into a uniform magnetic field, in a vacuum, in a direction perpendicular to the field.

Which one of the following statement is false?

a The radius of the electron orbit is inversely proportional to the strength of the magnetic field.

b The radius of the electron orbit depends on the speed at which the electrons enter the magnetic field.

c The work done on the electron by the magnetic field is zero.

d The acceleration of the electrons in the magnetic field is zero.

Answer