A short bar magnet placed with its axis at 30° with a uniform external magnetic field of 0.25 T experiences a torque of magnitude equal to  What is the magnitude of the magnetic moment of the magnet?

(1) 0.36 J/T

(2) 0.21 J/T

(3) 0.01 J/T

(4) 0.12 J/T

Subtopic:  Bar Magnet |
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A bar magnet of magnetic moment 1.5 J/T lies aligned with the direction of a uniform magnetic field of 0.22 T. What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment normal to the field direction.

(1) 0.66 J

(2) 0.33 J

(3) 0

(4) 0.44 J

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A circular coil of 16 turns and a radius of 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude  . The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0${s}^{-1}.$The moment of inertia of the coil about its axis of rotation is:

Subtopic:  Bar Magnet |
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A magnetic needle free to rotate in a vertical plane parallel to the magnetic meridian has its north tip pointing down at 22° with the horizontal. The horizontal component of the earth’s magnetic field at the place is known to be 0.35 G. The magnitude of the earth’s magnetic field at the place is:

(1) 0.377 G

(2) 0.278 G

(3) 0.027 G

(4) 0.101 G

Subtopic:  Earth's Magnetism |
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A closely wound solenoid of 800 turns and area of cross-section  carries a current of 3.0 A, is free to turn about the vertical direction and a uniform horizontal magnetic field of 0.25 T is applied, what is the magnitude of the torque on the solenoid when its axis makes an angle of ${30}^{0}$ with the direction of applied field?

Subtopic:  Earth's Magnetism |
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At a certain location in Africa, a compass points 12° west of the geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points 60° above the horizontal. The horizontal component of the earth’s field is measured to be 0.16 G. The magnitude of the earth’s field at the location is:

1. 0.16 G

2. 0.48 G

3. 0.32 G

4. 0.30 G

Subtopic:  Earth's Magnetism |
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A short bar magnet has a magnetic moment of  The direction and magnitude of the magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on the equatorial lines (normal bisector) of the magnet is:

(1) 0.38 G along the N-S direction.

(2) 0.48 G along the N-S direction.

(3) 0.38 G along the S-N direction.

(4) 0.48 G along the S-N direction.

Subtopic:  Bar Magnet |
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A short bar magnet placed in a horizontal plane has its axis aligned along the magnetic north-south direction. Null points are found on the axis of the magnet at 14 cm from the centre of the magnet. The earth’s magnetic field at the place is 0.36 G and the angle of dip is zero. What is the total magnetic field on the normal bisector of the magnet at the same distance as the null–point (i.e., 14 cm) from the centre of the magnet?

(1) 0.54 G in the direction of the earth's magnetic field.

(2) 0.44 G in the opposite direction of the earth's magnetic field.

(3) 0.54 G in the opposite direction of the earth's magnetic field.

(4) 0.44 G in the direction of the earth's magnetic field.

Subtopic:  Earth's Magnetism |
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A short bar magnet of magnetic moment  is placed with its axis perpendicular to the earth’s field direction. At what distance from the center of the magnet, the resultant field is inclined at 45º with the earth’s field on its normal bisector.

(Magnitude of the earth’s field at the place is given to be 0.42 G. Ignore the length of the magnet in comparison to the distances involved.)

(1) 5.6 cm

(2) 6.3 cm

(3) 5.0 cm

(4) 6.5 cm

Subtopic:  Earth's Magnetism |
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A long straight horizontal cable carries a current of 2.5 A in the direction ${10}^{0}$ south of west to ${10}^{0}$ north of east. The magnetic meridian of the place happens to be 10° west of the geographic meridian. The earth’s magnetic field at the location is 0.33 G, and the angle of dip is zero. The neutral points lie on (ignore the thickness of the cable)?

(1) a line parallel to the cable at a perpendicular distance of  above the plane of the paper.

(2) a line parallel to the cable at a perpendicular distance of  above the plane of the paper.

(3) a line parallel to the cable at a perpendicular distance of 0 above the plane of the paper.

(4) none of these.

Subtopic:  Earth's Magnetism |
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