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Q. No.In the circuit shown, the equivalent resistance between terminals \(A\) and \(B\) is:
1. \(3R/2\)
2. \(2R\)
3. \(4R\)
4. \(R\)
Subtopic: Wheatstone Bridge |
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Consider the following circuit. All resistors have resistance 10 Ω each. The value of \(\left|{\frac{{i}_{1}{+}{i}_{2}}{{i}_{3}}}\right|\) is:
1. 2
2. 1
3. 3
4. 1/3
1. 2
2. 1
3. 3
4. 1/3
Subtopic: Kirchoff's Voltage Law |
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | For making a voltmeter, we prefer a voltmeter of resistance of 4000 Ω over a voltmeter of resistance 1000 Ω. |
| Reason (R): | Voltmeter should be of higher resistance such that it draws less current from the circuit. |
In the light of the above statements choose the correct answer from the options given below:
| 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: Meter Bridge |
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In the circuit shown in the figure, the internal resistances of \(5\) V and \(8\) V cells are \(3\) \(\Omega\) and 4 \(\Omega,\) respectively. The current (in amperes) flows through the 4 \(\Omega\) external resistor connected across points \(A\) and \(B\) is \(\dfrac{1}{n}~\text{A}.\)
The value of \(n =\)
1. \(5\)
2. \(15\)
3. \(10\)
4. \(7\)
The value of \(n =\)1. \(5\)
2. \(15\)
3. \(10\)
4. \(7\)
Subtopic: Grouping of Cells |
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A wire with a resistance of \(5~\Omega\) is stretched (redrawn) to increase its length \(5\) times. What will be the final resistance of the wire?
1. \(25~\Omega\)
2. \(16~\Omega\)
3. \(125~\Omega\)
4. \(32~\Omega\)
1. \(25~\Omega\)
2. \(16~\Omega\)
3. \(125~\Omega\)
4. \(32~\Omega\)
Subtopic: Derivation of Ohm's Law |
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A uniform wire of resistance \(R\) is folded into a regular polygon of \(n\) sides. The equivalent resistance of this system between any two adjacent points is:
1. \({{n-1}\over{n}}R\)
2. \({{n-1}\over{n^{2}}}R\)
3. \({{n-1}\over{n^{3}}}R\)
4. \({{n+1}\over{n^{2}}}R\)
1. \({{n-1}\over{n}}R\)
2. \({{n-1}\over{n^{2}}}R\)
3. \({{n-1}\over{n^{3}}}R\)
4. \({{n+1}\over{n^{2}}}R\)
Subtopic: Combination of Resistors |
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Consider the meter bridge setup shown.
If a shunt resistance is added to \(3~\Omega\) resistor, the balance point shifts by 22.5 cm. The shunt resistance is equal to:
1. \(1~\Omega\)
2. \(2~\Omega\)
3. \(3~\Omega\)
4. \(4~\Omega\)
If a shunt resistance is added to \(3~\Omega\) resistor, the balance point shifts by 22.5 cm. The shunt resistance is equal to:
1. \(1~\Omega\)
2. \(2~\Omega\)
3. \(3~\Omega\)
4. \(4~\Omega\)
Subtopic: Meter Bridge |
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In the part of a circuit shown, the ratio of the rate of heat produced in R to that in 3R is:
1. 1: 9
2. 1: 3
3. 3: 1
4. 9: 1
1. 1: 9
2. 1: 3
3. 3: 1
4. 9: 1
Subtopic: Heating Effects of Current |
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For the given electrical circuit, the potential difference between point \(B\) and \(C\) is zero. The value of \(x\) is:
1. \(\dfrac{1}{2}\) \(\Omega\)
2. \(\dfrac{3}{2}\) \(\Omega\)
3. \(\dfrac{2}{3}\) \(\Omega\)
4. \(\dfrac{3}{5}\) \(\Omega\)
1. \(\dfrac{1}{2}\) \(\Omega\)
2. \(\dfrac{3}{2}\) \(\Omega\)
3. \(\dfrac{2}{3}\) \(\Omega\)
4. \(\dfrac{3}{5}\) \(\Omega\)
Subtopic: Wheatstone Bridge |
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In the circuit shown below, the value of current \(I_1\) (in amperes) is equal to:
1. \(-{{11}\over{5}}\)
2. \({{11}\over{5}}\)
3. \(-{{5}\over{7}}\)
4. \({{5}\over{7}}\)
1. \(-{{11}\over{5}}\)
2. \({{11}\over{5}}\)
3. \(-{{5}\over{7}}\)
4. \({{5}\over{7}}\)
Subtopic: Kirchoff's Voltage Law |
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