# 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

Subtopic:  Magnetic Field & Field Lines |
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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. $\frac{M}{2},\frac{m}{2}$

2. $M,\frac{m}{2}$

3. $\frac{M}{2},m$

4. M, m

Subtopic:  Bar Magnet |
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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. $\sqrt{2}ml$

4. $\frac{1}{2}ml$

Subtopic:  Bar Magnet |
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Rate of change of torque  with deflection is maximum for a magnet suspended freely in a uniform magnetic field of induction B, when

(a) $\theta ={0}^{o}$                        (b) $\theta ={45}^{o}$

(c) $\theta ={60}^{o}$                      (d) $\theta ={90}^{o}$

Subtopic:  Magnetic Field & Field Lines |
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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

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet of magnetic moment 104J/T is free to rotate in a horizontal plane. The work done in rotating the magnet slowly from a direction parallel to a horizontal magnetic field of 4×10–5 T to a direction 60° from the field will be

1. 0.2 J                          2. 2.0 J

3. 4.18 J                        4. 2 × 102 J

Subtopic:  Analogy between Electrostatics & Magnetostatics | Bar Magnet |
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Two equal bar magnets are kept as shown in the figure. The direction of the resultant magnetic field, indicated by arrowhead at the point P is: (approximately)

 1 2 3 4
Subtopic:  Bar Magnet |
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Two similar bar magnets P and Q, each of magnetic moment M, are taken. If P is cut along its axial line and Q is cut along its equatorial line, all the four pieces obtained have:
1. equal pole strength
2. magnetic moment M/4
3. magnetic moment M/2
4. magnetic moment M

Subtopic:  Bar Magnet |
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A magnet of magnetic moment  is placed along the x-axis in a magnetic field $\stackrel{\to }{B}=\left(0.5\stackrel{^}{i}+3.0\stackrel{^}{j}\right)T$. The torque acting on the magnet is

1. 175 $\stackrel{^}{k}$ N-m

2. 150 $\stackrel{^}{k}$ N-m

3. 75 $\stackrel{^}{k}$ N-m

4. 25$\sqrt{37}$ $\stackrel{^}{k}$ N-m

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet of length 3 cm has points A and B along its axis at distances of 24 cm and 48 cm on the opposite sides. Ratio of magnetic fields at these points will be

(a) 8                               (b)$\frac{1}{2\sqrt{2}}$

(c) 3                               (d) 4

Subtopic:  Bar Magnet |
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