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Q. No.A uniform wire of resistance \(50~\Omega\) \(\) is cut into \(5\) equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is:
1.
\(2~\Omega\) \(\)
2.
\(10~\Omega\) \(\)
3.
\(250~\Omega\) \(\)
4.
\(6250~\Omega\)
Subtopic: Derivation of Ohm's Law |
77%
Level 2: 60%+
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Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?
| (a) | drift speed |
| (b) | resistivity |
| (c) | resistance |
| (d) | the number of free electrons |
Choose the correct option:
| 1. | (d) only | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (d) |
Subtopic: Derivation of Ohm's Law |
54%
Level 3: 35%-60%
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Two resistors \(R\) and \(2R\) are connected in series in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio of:
1. \(1:2\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)
Subtopic: Heating Effects of Current |
80%
Level 1: 80%+
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In which situation can the terminal voltage of a battery be greater or less than its EMF?
| 1. | It is always equal to the EMF. |
| 2. | It is always greater than the EMF. |
| 3. | It may be greater or less than the EMF depending on the direction of current through the battery. |
| 4. | It may be greater or less than the EMF depending on the magnitude of its internal resistance. |
Subtopic: EMF & Terminal Voltage |
71%
Level 2: 60%+
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What is the potential difference between points \(A\) and \(B\) in the given circuit?
| 1. | \(28\) V | 2. | \(42\) V |
| 3. | \(-32\) V | 4. | \(36\) V |
Subtopic: Kirchoff's Current Law |
80%
Level 1: 80%+
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Two hundred cells of the same emf \(E\) and same internal resistance \(r\) are connected in series in the same order without external resistance. The potential drop across \(50\) cells is found to be:
1. \(50E\)
2. \(150E\)
3. \(200E\)
4. zero
1. \(50E\)
2. \(150E\)
3. \(200E\)
4. zero
Subtopic: Grouping of Cells |
Level 3: 35%-60%
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When a current \(i\) flows through a conductor, the drift velocity of free electrons is \(v.\) If the current is increased to \(2i,\) and the cross-sectional area of the conductor is doubled, what will be the new drift velocity of the free electrons?
| 1. | \(\dfrac{v}{4}\) | 2. | \(\dfrac{v}{2}\) |
| 3. | \(v\) | 4. | \(4v\) |
Subtopic: Current & Current Density |
82%
Level 1: 80%+
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What would be the value of current through \(2\) \(\Omega\) resistance for the given circuit in the figure?
1. zero
2. \(2\) A
3. \(5\) A
4. \(4\) A
1. zero
2. \(2\) A
3. \(5\) A
4. \(4\) A
Subtopic: Kirchoff's Current Law |
84%
Level 1: 80%+
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In the part of a circuit shown in the figure, the potential difference (\(V_\text{G}\)- \(V_\text{H}\)) between points G and H will be:
| 1. | \(0\) | 2. | \(15\) V |
| 3. | \(7\) V | 4. | \(3\) V |
Subtopic: Kirchoff's Current Law |
74%
Level 2: 60%+
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The effective resistance between points \(\mathrm{P}\) and \(\mathrm{Q}\) of the electrical circuit shown in the figure is:
1. \(\frac{2Rr}{R+r}\)
2. \(\frac{8R(R+r)}{3R+r}\)
3. \(2r+4R\)
4. \(\frac{5R}{2}+2r\)
1. \(\frac{2Rr}{R+r}\)
2. \(\frac{8R(R+r)}{3R+r}\)
3. \(2r+4R\)
4. \(\frac{5R}{2}+2r\)
Subtopic: Wheatstone Bridge |
85%
Level 1: 80%+
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