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Moving Charges and Magnetism · Question 74

AIPMT 2007MCQMedium📈 Topic in 12% papers+4−1
1

In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio ( charge on the ionmass of the ion ) will be proportional to

  1. 1/R2
  2. R2
  3. R
  4. 1/R

Answer

(1) 1/R2

Solution

After acceleration: qV = 12mv2 v = 2qVm

In the magnetic field: R = mvqB = 1B 2mVq

R2 = 2mVqB2

qm = 2VB2R2

With V and B constant, qm 1R2

Answer: (1)

AIPMT 2007

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2

When a charged particle moving with velocity v is subjected to a magnetic field of induction B, the force on it is non-zero. This implies that

  1. angle between v and B is either zero or 180
  2. angle between v and B is necessarily 90
  3. angle between v and B can have any value other than 90
  4. angle between v and B can have any value other than zero and 180
AIPMT 2006
3

Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What ratio of potential difference in volts should be applied across them so that the magnetic field at their centres is the same?

  1. 2
  2. 3
  3. 4
  4. 6
AIPMT 2006
4

A very long straight wire carries a current I. At the instant when a charge +Q at point P has velocity v, as shown, the force on the charge is [figure]

  1. along Oy
  2. opposite to Oy
  3. along Ox
  4. opposite to Ox
AIPMT 2005
5

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to

  1. B/v
  2. B/v
  3. v/B
  4. v/B
AIPMT 2005
6

A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that B is in plane of the coil. If due to a current i in the triangle a torque acts on it, the side l of the triangle is

  1. 2 3 ( Bi )
  2. 2 ( 3Bi )1/2
  3. 2 3 ( Bi )1/2
  4. 1 3 Bi
AIPMT 2005
7

A galvanometer of 50 ohm resistance has 25 divisions. A current of 4 10-4 ampere gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 volts, it should be connected with a resistance of

  1. 2500 as a shunt
  2. 2450 as a shunt
  3. 2550 in series
  4. 2450 in series
AIPMT 2004
8

To convert a galvanometer into a voltmeter one should connect a

  1. high resistance in series with galvanometer
  2. low resistance in series with galvanometer
  3. high resistance in parallel with galvanometer
  4. low resistance in parallel with galvanometer
AIPMT 2004
9

A charged particle moves through a magnetic field in a direction perpendicular to it. Then the

  1. speed of the particle remains unchanged
  2. direction of the particle remains unchanged
  3. acceleration remains unchanged
  4. velocity remains unchanged
AIPMT 2003
10

A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is

  1. B/2
  2. B
  3. 2B
  4. 4B
AIPMT 2003
11

To convert a galvanometer into a voltmeter one should connect a

  1. high resistance in series with galvanometer
  2. low resistance in series with galvanometer
  3. high resistance in parallel with galvanometer
  4. low resistance in parallel with galvanometer.
AIPMT 2002

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