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Q. No.Two coils require \(20\) minutes and \(60\) minutes respectively to produce the same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce the same amount of heat by the combination of coils will be:
1. \(10\) min
2. \(30\) min
3. \(15\) min
4. \(25\) min
Subtopic: Heating Effects of Current |
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The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of \(2~\Omega\). The value of the internal resistance of each cell is:
1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(8~\Omega\)
1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(8~\Omega\)
Subtopic: Grouping of Cells |
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A resistor has a resistance of \(5.0 ~\Omega.\) There is a direct current of \(10~\text{A}\) in the resistor. What is the power dissipated by the resistor?
1. \(50~\text{W}\)
2. \(2500~\text{W}\)
3. \(20~\text{W}\)
4. \(500~\text{W}\)
1. \(50~\text{W}\)
2. \(2500~\text{W}\)
3. \(20~\text{W}\)
4. \(500~\text{W}\)
Subtopic: Heating Effects of Current |
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Given below are two statements:
| Assertion (A): | Alloys such as constantan and manganin are used in making standard resistance coils. |
| Reason (R): | Constantan and manganin have a very small value of temperature coefficient of resistance. |
| 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: Derivation of Ohm's Law |
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An electric field of \(10\text{ N/C}\) is applied across a wire of an area of cross-section \(10^{-8}\text{ m}^2,\) through which a current of \(1\text{ A}\) is flowing. The resistivity of the material of the wire is:
1. \(10^8 ~\Omega \text- \text{m}\)
2. \(10^{-7} ~\Omega \text- \text{m}\)
3. \(10^{-9} ~\Omega \text- \text{m}\)
4. \(10^7 ~\Omega \text- \text{m}\)
1. \(10^8 ~\Omega \text- \text{m}\)
2. \(10^{-7} ~\Omega \text- \text{m}\)
3. \(10^{-9} ~\Omega \text- \text{m}\)
4. \(10^7 ~\Omega \text- \text{m}\)
Subtopic: Derivation of Ohm's Law |
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What will be the most suitable combination of three resistors \(A=2~\Omega, B= 4~\Omega, C= 6~\Omega\) so that \(\left({22 \over 3}\right)\Omega\) is the equivalent resistance of combination?
| 1. | Parallel combination of \(A\) and \(C\) connected in series with \(B\). |
| 2. | Parallel combination of \(A\) and \(B\) connected in series with \(C\). |
| 3. | Series combination of \(A\) and \(C\) connected in parallel with \(B\). |
| 4. | Series combination of \(B\) and \(C\) connected in parallel with \(A\). |
Subtopic: Combination of Resistors |
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The effective resistance of a number of identical resistors connected in parallel is \(x.\) When one of the resistors is removed, the effective resistance becomes \(y.\) What is the resistance of the removed resistor?
| 1. | \(\dfrac{(x/y)}{(x+y)}\) | 2. | \(\dfrac{(xy)}{(y-x)}\) |
| 3. | \( (y-x)\) | 4. | \(\sqrt{xy}\) |
Subtopic: Combination of Resistors |
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A resistor develops \(300~\text{J}\) of thermal energy in \(15~\text{s}\) when a current of \(2~\text{A}\) is passed through it. If the current increases to \(3~\text{A}\), the energy developed in \(10~\text{s}\) is:
1. \(150~\text{J}\)
2. \(250~\text{J}\)
3. \(350~\text{J}\)
4. \(450~\text{J}\)
1. \(150~\text{J}\)
2. \(250~\text{J}\)
3. \(350~\text{J}\)
4. \(450~\text{J}\)
Subtopic: Heating Effects of Current |
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In a meter bridge experiment (as shown in the figure), the balance point is found to be \(40~\text{cm}\) from end \(A,\) given that resistance \(Y\) is \(12.0~\Omega.\) What is the value of the resistance \(X?\)
1. \(4~\Omega\)
2. \(8~\Omega\)
3. \(10~\Omega\)
4. \(14~\Omega\)
1. \(4~\Omega\)
2. \(8~\Omega\)
3. \(10~\Omega\)
4. \(14~\Omega\)
Subtopic: Meter Bridge |
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A cell has emf of \(2.2~\text V\) and its internal resistance is \(0.1~\Omega.\) What is the current in the circuit, if the cell is connected across a resistance of \(1~\Omega?\)
1. \(1~\text A \)
2. \(1.5~\text A \)
3. \(2.0~\text A \)
4. \(2.5~\text A \)
1. \(1~\text A \)
2. \(1.5~\text A \)
3. \(2.0~\text A \)
4. \(2.5~\text A \)
Subtopic: Grouping of Cells |
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