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Q. No.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 |
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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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Two copper wires of length \(l\) and \(2l\) have radii \(r\) and \(2r\) respectively. What is the ratio of their specific resistances?
1. \(1:2\)
2. \(2:1\)
3. \(1:1\)
4. \(1:3\)
1. \(1:2\)
2. \(2:1\)
3. \(1:1\)
4. \(1:3\)
Subtopic: Derivation of Ohm's Law |
66%
Level 2: 60%+
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\(150\) cc of water taken in an electric kettle boils in \(20\) minutes. If the same amount of water is to be boiled in \(10\) minutes, the length of the heating element will have to be:
| 1. | one fourth | 2. | one third |
| 3. | two times | 4. | one half |
Subtopic: Heating Effects of Current |
Level 3: 35%-60%
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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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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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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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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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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 |
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Level 2: 60%+
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Two cells having emfs \(3\) V and \(2\) V are connected in parallel and they give an emf of \(0.5\) V in the same sense as \(3\) V \(-\) cell. The internal resistances of the cells are \(r_1\) and \(r_2\) respectively. If one cell is reversed, their combined emf becomes \(2.5\) V. The ratio of their internal resistances \(\Big(\dfrac{r_1}{r_2}\Big) \) is:
1. \(1\)
2. \(\dfrac12\)
3. \(\dfrac21\)
4. \(\sqrt2\)
1. \(1\)
2. \(\dfrac12\)
3. \(\dfrac21\)
4. \(\sqrt2\)
Subtopic: Grouping of Cells |
67%
Level 2: 60%+
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