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A current \(i\) flows through a semi-circular loop of radius \(r,\) attached to two long straight wires along the open diameter of the loop. The magnetic field at the centre of the loop is:
1. \(\dfrac{\mu_0i}{4r}\)
2. \(\dfrac{\mu_0i}{4r}+\dfrac{\mu_0i}{2\pi r}\)
3. \(\dfrac{\mu_0i}{4r}+\dfrac{\mu_0i}{4\pi r}\)
4. \(\left[\left(\dfrac{\mu_0i}{4r}\right)^2+\left(\dfrac{\mu_0i}{4\pi r}\right)^2\right]^{\frac12} \)

Subtopic:  Magnetic Field due to various cases |
 84%
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A long solenoid of radius \(1~\text{mm}\) has \(100\) turns per mm. If \(1~\text{A}\) current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
1. \(6.28 \times 10^{-4} ~\text{T} \) 2. \(6.28 \times 10^{-2}~\text{T}\)
3. \(12.56 \times 10^{-2}~\text{T}\) 4. \(12.56 \times 10^{-4} ~\text{T}\)
Subtopic:  Magnetic Field due to various cases |
 66%
From NCERT
NEET - 2022
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From Ampere's circuital law, for a long straight wire of circular cross-section carrying a steady-current, the variation of the magnetic field inside and outside the region of the wire is:
1. A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region.
2. Uniform and remains constant for both regions.
3. A linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region.
4. A linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region.
Subtopic:  Ampere Circuital Law |
 66%
From NCERT
NEET - 2022
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The ratio of the radii of two circular coils is \(1:2.\) The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:

1. \(4:1\) 2. \(2:1\)
3. \(1:2\) 4. \(1:4\)
Subtopic:  Magnetic Moment |
 63%
From NCERT
NEET - 2022
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A strong magnetic field is applied along the direction of the velocity of an electron. The electron would move along:
1. a parabolic path
2. the original path
3. a helical path
4. a circular path
Subtopic:  Lorentz Force |
 67%
From NCERT
NEET - 2022
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Given below are two statements: 
Statement I: A charged particle moving in a magnetic field experiences a force which is zero only when it moves in the direction of the field or against it.
Statement II: Whenever a charged particle moves in a uniform magnetic field, its trajectory may be a circle, a straight line or a helix.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Lorentz Force |
 73%
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The value of unknown resistance \(R\) for which \(20\)% of the main current passes through a galvanometer of resistance \(80\) \(\Omega \) is:
1. \(10\) \(\Omega \) 2. \(20\) \(\Omega \)      
3. \(30\) \(\Omega \) 4. \(40\) \(\Omega \)
Subtopic:  Conversion to Ammeter & Voltmeter |
 86%
From NCERT
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A magnetized wire of magnetic moment \(M\) and length \(L\) is bent in the form of the semi-circle of radius \(r\). The new magnetic moment is:
1. \(M\)
2. \(M / 2 \pi\)
3. \(M / \pi\)
4. \(2M / \pi\)
Subtopic:  Magnetic Moment |
 53%
From NCERT
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A charged particle is moving in a uniform magnetic field \((2 \hat{i}+3 \hat{j}) ~\text{T} .\) If it has an acceleration of \((\alpha \hat{i}-4 \hat{j})~ \text{m /s}^{2},\) then the value of \(\alpha \) will be:
1. \(3\)
2. \(6\)
3. \(12\)
4. \(2\)
Subtopic:  Lorentz Force |
 87%
From NCERT
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Given below are two statements: 
Assertion (A): In a uniform magnetic field, speed and energy remain the same for a moving charged particle.
Reason (R): Moving charged particle experiences a magnetic force perpendicular to its direction of motion.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Lorentz Force |
 68%
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