A wheel with \(10\) metallic spokes each \(0.5\) m long is rotated with a speed of \(120\) rev/min in a plane normal to the horizontal component of earth’s magnetic field HE at a place. If \(H_E=0.4\) G at the place, what is the induced emf between the axle and the rim of the wheel? (\(1\) G=\(10^{-4}\) T)
1. \(5.12\times10^{-5}\) T
2. \(0\)
3. \(3.33\times10^{-5}\)
4. \(6.28\times10^{-5}\)

Subtopic:  Motional emf |
 64%
From NCERT
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Refer to figure. The arm PQ of the rectangular conductor is moved from x = 0, outwards. The uniform magnetic field is perpendicular to the plane and extends from x = 0 to x = b and is zero for x > b. Only the arm PQ possesses substantial resistance r. Consider the situation when the arm PQ is pulled outwards from = 0 to x = 2b with a constant speed v. The induced emf is:

1. -Blv for 0x<b, 0 for bx<2b
2. +Blv for 0x<b, 0 for bx<2b
3. -Blv for bx<2b, 0 for 0x<b
4. +Blv for bx<2b, 0 for 0x<b

Subtopic:  Motional emf |
 50%
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Refer to the figure. The arm PQ of the rectangular conductor is moved from x = 0, outwards. The uniform magnetic field is perpendicular to the plane and extends from x = 0 to x = b and is zero for x > b. Only the arm PQ possesses substantial resistance r. Consider the situation when the arm PQ is pulled outwards from = 0 to x = 2b with constant speed v. The force necessary to pull the arm is:

1. B2l2vr for 0x<b, 0 for bx<2b
2. B2l2v2r for 0x<b, 0 for bx<2b
3. 0 for 0x<b, B2l2vr for bx<2b
4. 0 for 0x<b, B2l2v2r for bx<2b

Subtopic:  Motional emf |
 74%
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Refer to figure. The arm PQ of the rectangular conductor is moved from x = 0, outwards. The uniform magnetic field is perpendicular to the plane and extends from x = 0 to x = b and is zero for x > b. Only the arm PQ possesses substantial resistance r. Consider the situation when the arm PQ is pulled outwards from = 0 to x = 2b and is then moved back to x = 0 with constant speed v. The power dissipated as Joule heat is: 

1. B2l2v2r for 0x<b, 0 for bx<2b
2. B2l2v2r  for 0x<b, 0 for bx<2b
3. 0 for bx<2b, B2l2v2r  for 0x<b
4. 0 for bx<2b, B2l2v22r for 0x<b

Subtopic:  Motional emf |
 73%
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Two concentric circular coils, one of small radius \({r_1}\) and the other of large radius \({r_2},\) such that \({r_1<<r_2},\)  are placed co-axially with centres coinciding. The mutual inductance of the arrangement is:
1. \(\frac{\mu_0\pi r_1^2}{3r_2}\)

2. \(\frac{2\mu_0\pi r_1^2}{r_2}\)
3. \(\frac{\mu_0\pi r_1^2}{r_2}\)
4. \(\frac{\mu_0\pi r_1^2}{2r_2}\)

Subtopic:  Mutual Inductance |
 67%
From NCERT
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To view explanation, please take trial in the course.
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The expression for the magnetic energy stored in a solenoid in terms of magnetic field \(B\), area \(A\) and length \(l\) of the solenoid is:
1. \( \frac{1}{\mu_0}B^2Al\)
2. \( \frac{1}{2\mu_0}B^2Al\)
3. \( \frac{2}{\mu_0}B^2Al\)
4. 
\( \frac{3}{2\mu_0}B^2Al\)

Subtopic:  Self - Inductance |
 82%
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The ratio of magnetic energy per unit volume and electrostatic energy stored per unit volume in a parallel plate capacitor is:

1. 1ε0μ0BE2
2. 1ε0μ0EB2
3. 12ε0μ0BE2
4. 12ε0μ0EB2

Subtopic:  Self - Inductance |
 61%
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Kamla peddles a stationary bicycle. The pedals of the bicycle are attached to a \(100\) turn coil of an area of \(0.10~\text{m}^2\). The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of \(0.01~\text{T}\) perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?
1. \(0.628~\text{V}\)

2. \(0.421~\text{V}\)

3. \(0.314~\text{V}\)

4. \(0\) 

Subtopic:  Motional emf |
 55%
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A metallic rod of 1 m length is rotated with a frequency of 50 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring (as shown in the figure). A constant and uniform magnetic field of 1 T parallel to the axis is present everywhere. What is the emf between the centre and the metallic ring?

1. 150 V

2. 130 V

3. 157 V

4. 133V

Subtopic:  Motional emf |
 71%
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The polarity of the capacitor in the given figure is:

1. The polarity of plate ‘B’ will be positive with respect to plate ‘A’.
2. The polarity of plate ‘A’ will be positive with respect to plate ‘B’.
3. The polarity of plate ‘A’ will be the same as that of plate ‘B’.
4. None of these

Subtopic:  Faraday's Law & Lenz Law |
 64%
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