Q. No.The current sensitivity of a moving coil galvanometer is \(5\) div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is \(20\) div/V. How much is the resistance of the galvanometer?
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. | \(4 \times 10^{-4}~\text{T}\) |
If \(B_1\) and \(B_2\) are the magnitudes of the magnetic fields at \(O\) due to the currents in \(ABC\) and \(ADC\) respectively, the ratio \(B_1:B_2\) will be:
| 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. |
Two particles each of mass \(m\) and charge \(q\) are attached to the two ends of a light rigid rod of length \(2R\). The rod is rotated at constant angular speed about a perpendicular axis passing through its centre.
What is the ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod?
1. \(\frac{q}{2m}\)
2. \(\frac{q}{m}\)
3. \(\frac{2q}{m}\)
4. \(\frac{q}{\pi m}\)
1. \(i \propto \tan \theta\)
2. \(i \propto \theta\)
3. \(i \propto \theta^{2}\)
4. \(i \propto \sqrt{\theta}\)
Three long, straight, and parallel wires carrying currents of \(30\) A, \(10\) A, and \(20\) A in \(P\), \(Q\), and \(R\), respectively, are arranged as shown in the figure. What is the force experienced by a \(10\) cm length of wire \(Q\)?
| 1. | \(1.4 \times 10^{-4}~\text{N}\) towards the right |
| 2. | \(1.4 \times 10^{-4}~\text{N}\) towards the left |
| 3. | \(2.6 \times 10^{-4}~\text{N}\) to the right |
| 4. | \(2.6 \times 10^{-4}~\text{N}\) to the left |
When a positively charged particle moves in an \(x\text-y\) plane, its path abruptly changes due to the presence of electric and/or magnetic fields beyond \(P\). The curved path is depicted in the \(x\text-y\) plane and is discovered to be noncircular. Which of the following combinations is true?
1. \(\vec{{E}}=0 ; \vec{{B}}={b} \hat{i}+{c} \hat{k}\)
2. \(\vec{E}={a\hat{i}} ; \vec{B}={c} \hat{k}+a\hat{i}\)
3. \(\vec{E}=0 ; \vec{B}=c \hat{j}+b \hat{k}\)
4. \(\vec{E}=a\hat i ; \vec{B}=c\hat{k}+{b}\hat{j}\)
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