If a magnetic needle is made to vibrate in uniform field H, then its time period is T. If it vibrates in the field of intensity 4H, its time period will be:

1. 2T

2. T/2

3. 2/T

4. T

Subtopic:  Bar Magnet |
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A bar magnet of length ‘l’ and magnetic dipole moment ‘M’ is bent in the form of an arc as shown in the figure. The new magnetic dipole moment will be:

1. 3M/$\mathrm{\pi }$
2. 2M/l$\mathrm{\pi }$
3. M/2
4. M

Subtopic:  Bar Magnet |
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Due to a small magnet, the intensity at a distance x in the end-on position is 9 gauss. What will be the intensity at a distance $\frac{x}{2}$ on equatorial position?

1. 9 gauss

2. 4 gauss

3. 36 gauss

4. 4.5 gauss

Subtopic:  Bar Magnet |
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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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Figure shows two small identical magnetic dipoles a and b of magnetic moments M each, placed at a separation 2d, with their axes perpendicular to each other. The magnetic field at the point P midway between the dipoles is:

1. $\frac{2{\mathrm{\mu }}_{0}\mathrm{M}}{4{\mathrm{\pi d}}^{3}}$

2. $\frac{{\mathrm{\mu }}_{0}\mathrm{M}}{4{\mathrm{\pi d}}^{3}}$

3. Zero

4. $\frac{\sqrt{5}{\mathrm{\mu }}_{0}\mathrm{M}}{4{\mathrm{\pi d}}^{3}}$

Subtopic:  Bar Magnet |
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The unit of pole strength is:

1. $A{m}^{2}$

2. Am

3. $\frac{{A}^{2}}{m}$

4. $\frac{{A}^{2}}{{m}^{2}}$

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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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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A vibration magnetometer placed in a magnetic meridian has a small bar magnet. The magnet executes oscillations with a time period of 2 s in the earth's horizontal magnetic field of 24 $\mu$T. When a horizontal field of 18 $\mu$T is produced opposite to the earth's field by placing a current-carrying wire, the new time period of the magnet will be:

1. 1 s

2. 2 s

3. 3 s

4. 4 s

Subtopic:  Bar Magnet |
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Two identical bar magnets are fixed with their centres at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure.

The force on the charge Q is:

1. zero.

2. directed along with OP.

3. directed along with PO.

4. directed perpendicular to the plane of the paper.

Subtopic:  Bar Magnet |
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