The correct direction of the magnetic field in the given figures is shown by:

1.  2.
3. 4.
Subtopic:  Magnetic Field & Field Lines |
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A magnet of magnetic dipole moment \(10\hat{i}\) A-m2 is placed along the x-axis in a magnetic field \(\vec B=(\hat i+2\hat j)~\text{T}\). The torque acting on the magnet is:
1. \((30\widehat k)\) N-m 2. \((10\widehat i+20\widehat j)\) N-m
3. \((20\widehat k)\) N-m 4. \((-30\widehat k)\) N-m
Subtopic:  Magnetic Field & Field Lines |
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Which of the following is the correct representation of magnetic field lines?

1. (g), (c) 2. (d), (f)
3. (a), (b) 4. (c), (e)
Subtopic:  Magnetic Field & Field Lines |
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The magnetic lines of force inside a bar magnet are:

1. from south to the north pole.
2. from north to the south pole.
3. not present.
4. intersecting each other.

Subtopic:  Magnetic Field & Field Lines |
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Two identical bar magnets are kept as shown in the figure. The direction of the resultant magnetic field, indicated by the arrowhead at the point \(\mathrm{P}\) is:
1. 2.
3. 4.
Subtopic:  Magnetic Field & Field Lines |
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Which one of the following is correct?

1. The magnetic field lines also represent the lines of force on a moving charged particle at every point.
2. Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid.
3. A bar magnet exerts a torque on itself due to its own field.
4. Magnetic field arises due to stationary charges.

Subtopic:  Magnetic Field & Field Lines |
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The unit of magnetic flux is:
1. Oersted
2. Gauss
3. Tesla
4. Maxwell
Subtopic:  Magnetic Field & Field Lines |
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A bar magnet having a magnetic moment of \(2.0\times10^{5}~\text{JT}^{-1}\) is placed along the direction of the uniform magnetic field of magnitude, \(B=14\times10^{-5}~\text{T}\). The work done in rotating the magnet slowly through \(60^\circ \) from the direction of the field is:
1. \(14~\text{J}\)
2. \(8.4~\text{J}\)
3. \(4~\text{J}\)
4. \(1.4~\text{J}\)
Subtopic:  Bar Magnet |
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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. \(\dfrac{T}{2}\)
3. \(\dfrac{2}{T}\) 4. \(T\)
Subtopic:  Bar Magnet |
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A \(100\)-turn coil of wire of size \(2~\text{cm}\times 1.5~\text{cm}\) is suspended between the poles of a magnet producing a field of \(1\) T, inside a galvanometer. Calculate the torque on the coil due to a current of \(0.1~\text{A}\) passing through the coil.
1. \(3 \times 10^{-5}\) N-m 
2. \(30\) N-m
3. \(3 \times 10^{-3}\) N-m 
4. \(3 \times 10^{-2}\) N-m 
Subtopic:  Bar Magnet |
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