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The magnetic field near a current-carrying conductor is given by:
1. Coulomb's law 2. Lenz's law
3. Biot-Savart law 4. Kirchoff's law
Subtopic:  Biot-Savart Law |
 94%
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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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An electron enters a chamber in which a uniform magnetic field is present as shown.

                 

An electric field of appropriate magnitude is also applied so that the electron travels undeviated without any change in its speed through the chamber. We are ignoring gravity. Then, the direction of the electric field is:

1. opposite to the direction of the magnetic field.
2. opposite to the direction of the electron's motion.
3. normal to the plane of the paper and coming out of the plane of the paper.
4. normal to the plane of the paper and into the plane of the paper.

Subtopic:  Lorentz Force |
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A long straight wire of radius \(R\) carries a uniformly distributed current \(i.\) The variation of magnetic field \(B\) from the axis of the wire is correctly presented by the graph?

1. 2.
3. 4.
Subtopic:  Magnetic Field due to various cases |
 75%
From NCERT
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Two parallel, long wires are kept \(0.20~\text m\) apart in a vacuum, each carrying current of \(x ~\text A\) in the same direction. If the force of attraction per meter of each wire is \(2 \times 10^{-6} ~\text N,\) then the value of \(x \) is approximately:
1. \(1\)
2. \(2.4\)
3. \(1.4\)
4. \(2\)
Subtopic:  Force between Current Carrying Wires |
 75%
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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%
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A circular coil of \(30\) turns and a radius of \(8.0 ~\text{cm}\) carrying a current of \(6.0 ~\text{A}\) is suspended vertically in a uniform horizontal magnetic field of magnitude \(1.0 ~\text{T}.\) The field lines make an angle of \(60^\circ\) with the normal of the coil. What will be the magnitude of the counter-torque that must be applied to prevent the coil from turning?
1. \(7.12 ~\text{N-m}\)
2. \(3.13~\text{N-m}\)
3. \(6.50~\text{N-m}\)
4. \(4.44~\text{N-m}\)

Subtopic:  Current Carrying Loop: Force & Torque |
 75%
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A proton is rotating along a circular path with kinetic energy \(K\) in a uniform magnetic field \(B.\) If the magnetic field is made four times keeping the radius constant, then what will be the kinetic energy of rotation of the proton? 
1. \(16K\) 2. \(8K\)
3. \(4K\) 4. \(K\)
Subtopic:  Lorentz Force |
 74%
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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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The figure shows a current carrying loop having four segments \(1,\) \(2,\) \(3\) and \(4.\) The magnitude of the magnetic field at centre \(\mathrm{O}\) is maximum due to:
1. segment \(1\) 2. segment \(2\)
3. segment \(3\) 4. segment \(4\)
Subtopic:  Biot-Savart Law |
 84%
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