If the value of integral \(\oint \vec {B} \cdot \vec {dl}\) for the loops \(C_1, C_2,~\text{and}~C_3\) \(2\mu_0, 4\mu_0~\text{and}~\mu_0\) in the units of N/A, respectively, then:
1. | \(I_1=3 A\) into the paper | 2. | \(I_2=3 A\) out of the paper |
3. | \(I_3=0\) | 4. | \(I_3=1 A\) out of the paper |
A ring of radius \(R\) carries a linear charge density \(\lambda\). It is rotating with angular speed \(\omega\) about an axis passing through the centre and perpendicular to the plane. What is the magnetic field at its centre?
1. | \(\dfrac{3 \mu_{0} \lambda \omega}{2}\) | 2. | \(\dfrac{\mu_{0} \lambda \omega}{2}\) |
3. | \(\dfrac{\mu_{0} \lambda \omega}{\pi}\) | 4. | \(\mu_{0} \lambda \omega\) |
1. | \(40~ \Omega\) | 2. | \(25~ \Omega\) |
3. | \(250~ \Omega\) | 4. | \(500~ \Omega\) |
Perpendicularly, an electron and a proton enter a magnetic field. Both have the same amount of kinetic energy. Which of the following statements is correct?
1. | Trajectory of electron is less curved |
2. | Trajectory of proton is less curved |
3. | Both trajectories are equally curved |
4. | Both move on a straight-line path |
a. | \(\vec{B}\) should be perpendicular to the direction of velocity and \(\vec{E}\) should be along the direction of velocity. |
b. | Both \(\vec{B}\) and \(\vec{E}\) should be along the direction of velocity. |
c. | Both \(\vec{B}\) and \(\vec{E}\) are mutually perpendicular and perpendicular to the direction of velocity. |
d. | \(\vec{B}\) should be along the direction of velocity and \(\vec{E}\) should be perpendicular to the direction of velocity. |
Which one of the following pairs of statements are possible?
1. (a) and (c)
2. (c) and (d)
3. (b) and (c)
4. (b) and (d)
1. | \(16 \times 10^{-4}~\text{T}\) | 2. | \(8 \times 10^{-4}~\text{T}\) |
3. | \(32 \times 10^{-4}~\text{T}\) | 4. | \(4 \times 10^{-4}~\text{T}\) |
1. | \(0.2\) | 2. | \(6\) |
3. | \(1\) | 4. | \(5\) |
What is the result of an electric charge in uniform motion?
1. | an electric field only. |
2. | a magnetic field only. |
3. | both electric and magnetic field. |
4. | neither electric nor magnetic field. |