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Q. No.If two incandescent bulbs, \(50~\text W\) and \(100~\text W,\) are connected in series across the mains then (compared with their original brightness):
| 1. | \(100~\text W\) – glows brighter, \(50~\text W\) – glows dimmer |
| 2. | \(100~\text W\) – glows dimmer, \(50~\text W\) – glows brighter |
| 3. | \(100~\text W,50~\text W\) – both glow brighter |
| 4. | \(100~\text W,50~\text W\) – both glow dimmer |
Subtopic: Heating Effects of Current |
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A uniformly increasing current flows through a \(30\) \(\Omega\) resistance, as shown in the graph.
The thermal energy generated in the resistance due to Joule heating is:
1. \(240\) J
2. \(480\) J
3. \(160\) J
4. \(320\) J
The thermal energy generated in the resistance due to Joule heating is:
1. \(240\) J
2. \(480\) J
3. \(160\) J
4. \(320\) J
Subtopic: Heating Effects of Current |
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A cell is connected between \(A\) and \(B\) and it is observed that \(V_{C}=V_{D}\) while the corresponding ammeter current is also noted. When the cell (between \(A\) and \(B\)) is disconnected, and ends \(B\) and \(C\) are connected: the current through an ammeter \(A\) is found to have the same magnitude (but in opposite direction). Then, the resistance \(R\) is:
| 1. | equals \(400~\Omega.\) |
| 2. | equals \(200~\Omega.\) |
| 3. | can have any value less than \(400~\Omega.\) |
| 4. | cannot be determined from the given information. |
Subtopic: Kirchoff's Voltage Law |
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For what value of \(R\) will the power supplied by the battery (EMF = \(8~\text{V}\), internal resistance = \(5~\Omega\)) to the resistance \(R\) will be a maximum?
1. \(5~\Omega\)
2. \(4~\Omega\)
3. \(2~\Omega\)
4. \(8~\Omega\)
1. \(5~\Omega\)
2. \(4~\Omega\)
3. \(2~\Omega\)
4. \(8~\Omega\)
Subtopic: Heating Effects of Current |
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Given below are two statements:
| Statement I: | A \(\mathrm{Li}\text{-ion}\) battery stores electric charge as well as electrical energy. |
| Statement II: | A charged capacitor stores electrical energy. |
| 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: Grouping of Cells |
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A wire is connected to form an equilateral triangle \(ABC\), each side having a resistance of \(4~\Omega\). The vertex \(C\) is maintained at zero volts (\(V_C=0\)), and currents flowing in at \(A\) and \(B\) are as shown in the figure. The ratio of the potentials at \(D\) and \(E\) \(\Big(i.e.~\frac{V_D}{V_E}\Big)\) equals:
| 1. | \(\dfrac31\) | 2. | \(\dfrac21\) |
| 3. | \(\dfrac11\) | 4. | \(\dfrac53\) |
Subtopic: Kirchoff's Current Law |
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The equivalent resistance between \(A\) and \(B\) is:
| 1. | \(20~\Omega\) | 2. | \(4.8~\Omega\) |
| 3. | \(10~\Omega\) | 4. | \(5~\Omega\) |
Subtopic: Combination of Resistors |
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Current density is the current crossing per unit area. Consider a cylindrical wire of uniform cross-section \(A,\) carrying a current \(I.\) Imagine a cross-section formed by a "\(30^\circ\)-cut" as shown (the wire is not really cut). The current density perpendicular to this cross-section is:
| 1. | \(\dfrac{I}{A}\) | 2. | \(\dfrac{I}{A}~\cos30^\circ\) |
| 3. | \(\dfrac{2I}{A}\) | 4. | \(\dfrac{I}{A}~\sin30^\circ\) |
Subtopic: Current & Current Density |
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\(AB\) is a \(20~\Omega\) resistor with a tapping point \(C\) that can be moved along \(AB\). The resistances in \(AC,BC\) are proportional to the lengths \(AC,BC\). Initially, \(C\) is at the mid-point of \(AB\) and the circuit is switched on.
If the tapping point \(C\) is moved so that the length \(BC\) is reduced to half its initial value, then the voltage across the \(15~\Omega\) resistor,
If the tapping point \(C\) is moved so that the length \(BC\) is reduced to half its initial value, then the voltage across the \(15~\Omega\) resistor,
| 1. | increases by \(1\) V |
| 2. | decreases by \(1\) V |
| 3. | increases by \(3\) V |
| 4. | decreases by \(3\) V |
Subtopic: Kirchoff's Voltage Law |
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Two non-ideal batteries are connected in parallel: Battery of EMF \(E_1,\) resistance \(r_1\) and of EMF \(E_2\), resistance \(r_2.\) The resulting equivalent battery has EMF '\(E,\)' resistance \(r.\) If \(r_1<r_2,\)
1. \(|E-E_1|<|E-E_2|\)
2. \(|E+E_1|<|E+E_2|\)
3. \(|E-E_1|>|E-E_2|\)
4. \(|E+E_1|>|E+E_2|\)
1. \(|E-E_1|<|E-E_2|\)
2. \(|E+E_1|<|E+E_2|\)
3. \(|E-E_1|>|E-E_2|\)
4. \(|E+E_1|>|E+E_2|\)
Subtopic: Grouping of Cells |
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