Points A and B are situated perpendicular to the axis of a 2cm long bar magnet at large distances X and 3X from its centre on opposite sides. The ratio of the magnetic fields at A and B will be approximately equal to
(a) 1 : 9               (b) 2 : 9
(c) 27 : 1             (d) 9 : 1

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Two short magnets with their axes horizontal to the magnetic meridian are placed with their centres 40 cm east and 50 cm west of the magnetic needle. If the needle remains undeflected, the ratio of their magnetic moments  is

(a) 4:5

(b) 16:25

(c) 64:125

(D) 2:5

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If a bar magnet of magnetic moment M is freely suspended in a uniform magnetic field of strength B, the work done in rotating the magnet through an angle is

1. MB(1-sinθ)

2. MBsinθ

3. MBcosθ

4. MB(1-cosθ)

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Two small bar magnets are placed in a line with like poles facing each other at a certain distance d apart. If the length of each magnet is negligible as compared to d, the force between them will be inversely proportional to

(a) d

(b) d2

(c) 1d2

(d) d4

 

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A magnet of magnetic moment M is situated with its axis along the direction of a magnetic field of strength B. The work done in rotating it by an angle of 180o will be

(a) -MB                         (b) +MB

(c) 0                             (d) +2MB

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A magnetic needle is kept in a non-uniform magnetic field. It experiences

1. A force and a torque

2. A force but not a torque

3. A torque but not a force 

4. Neither a torque nor a force

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A long magnetic needle of length 2L, magnetic moment M and pole strength m units is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be

1. M2,m2

2. M,m2

3. M2,m

4. M, m

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Two identical thin bar magnets each of length l and pole strength m are placed at the right angle to each other with the north pole of one touching south pole of the other. The magnetic moment of the system is :

1. ml

2. 2ml

3. 2ml

4. 12ml

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Rate of change of torque  with deflections maximum for a magnet suspended freely in a uniform magnetic field of induction B, when

(a) θ=0o                        (b) θ=45o

(c) θ=60o                      (d) θ=90o

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Force between two identical bar magnets whose centres are r metre apart  is 4.8 N, when their axes are in the same line. If separation is increased to 2r, the force between them is reduced to

1. 2.4N                         2. 1.2N

3. 0.6N                         4. 0.3N

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Analogy between electrostatics and magnetostatics
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