A straight wire of mass \(200~\text{g}\) and length \(1.5~\text{m}\) carries a current of \(2~\text{A}\). It is suspended in mid-air by a uniform horizontal magnetic field \(B\) (shown in the figure). What is the magnitude of the magnetic field?

       

1. \(0.65~\text{T}\)
2. \(0.77~\text{T}\)
3. \(0.44~\text{T}\)
4. \(0.20~\text{T}\)

Subtopic:  Lorentz Force |
 82%
From NCERT
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In a region of space, magnetic field is parallel to the positive y-axis and the charged particle is moving along the positive x-axis (as shown in the figure). The directions of Lorentz force for an electron (negative charge) and proton (positive charge) are respectively:

1. -z-axis, +z-axis

2. +z-axis, -z-axis

3. -z-axis, -z-axis

4. +z-axis, +z-axis

Subtopic:  Lorentz Force |
 62%
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The radius of the path of an electron and frequency (mass 9×10-31 kg and charge 1.6×10-19 C) moving at a speed of \(3\times10^7\) m/s in a magnetic field of \(6\times10^{-4}\) T perpendicular to it are respectively:
1. \(24\) cm, \(4\) MHz

2. \(22\) cm, \(4\) MHz

3. \(28\) cm, \(2\) MHz

4. \(26\) cm, \(2\) MHz

Subtopic:  Lorentz Force |
 70%
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An electron mass 9×10-31 kg and charge 1.6×10-19 C is moving at a speed of 3 ×107 m/s in a magnetic field perpendicular to it. The energy of the electron in keV is: ( 1 eV = 1.6 × 10–19 J)

1. 2.5 keV

2. 3.5 keV

3. 20 keV

4. 3.0 keV

Subtopic:  Lorentz Force |
 62%
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An element \(\Delta l=\Delta x \hat{i}\) is placed at the origin and carries a large current of \(I=10\) A (as shown in the figure). What is the magnetic field on the y-axis at a distance of \(0.5\) m?(\(\Delta x=1~\mathrm{cm}\))
       

 1. \(6\times 10^{-8}~\mathrm{T}\) 2. \(4\times 10^{-8}~\mathrm{T}\)
3. \(5\times 10^{-8}~\mathrm{T}\) 4. \(5.4\times 10^{-8}~\mathrm{T}\)

Subtopic:  Biot-Savart Law |
 80%
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A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in the figure. Considering the magnetic field B at the centre of the arc, what will be the magnetic field due to the straight segments?

         

1. 0
2. 1.2×10-4 T
3. 2.1×10-4 T
4. None of these

Subtopic:  Biot-Savart Law |
 78%
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A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in the figure. Consider the magnetic field B at the centre of the arc. What is the magnetic field at centre due to the semi-circular loop?

 

1. 0
2. 3.8×10-4 T
3. 1.9×10-4 T
4. 2.9×10-4 T

Subtopic:  Biot-Savart Law |
 64%
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Consider a tightly wound \(100\) turn coil of radius \(10\) cm, carrying a current of \(1\) A. What is the magnitude of the magnetic field at the centre of the coil?
1. \(8.2\times10^{-4}\) T
2. \(4.6\times10^{-4}\) T
3. \(5.2\times10^{-4}\) T
4. \(6.2\times10^{-4}\) T

Subtopic:  Magnetic Field due to various cases |
 78%
From NCERT
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The figure shows a long straight wire of a circular cross-section (radius a) carrying steady current I. The current I is uniformly distributed across this cross-section. If the magnetic field in the region (a) is B1 and for (a) is B2, then B1B2 is:

1. ar
2. a2r2
3. r2a2
4. ra

Subtopic:  Magnetic Field due to various cases |
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A solenoid of length 0.5 m has a radius of 1 cm and is made up of 500 turns. It carries a current of 5 A. What is the magnitude of the magnetic field inside the solenoid?

1. 6.28×10-3 T
2. 3.14×10-3 T
3. 2.72×10-3 T
4. 5.17×10-3 T

Subtopic:  Magnetic Field due to various cases |
 73%
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