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Q. No.A wire made of a metal of uniform resistivity \(1.0\times 10^{-6}~\Omega{\text{-m}}\) is \(2.0~\text{m}\) long and has a diameter of \(2.0\times 10^{-3}~\text{m}.\). What is the electrical resistance of this length of the wire?
1.
\(\dfrac {2.0 ~\times~10^{-3}}{\pi} ~\Omega\)
2.
\(5.0 ~\times~10^{-13}\pi~\Omega\)
3.
\(\dfrac {1.0}{2\pi}~\Omega\)
4.
\(\dfrac{2.0}{\pi}~\Omega\)
Subtopic: Derivation of Ohm's Law |
82%
From NCERT
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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 |
90%
From NCERT
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Two metallic wires of identical dimensions are connected in series. If \(\sigma _1\) and \(\sigma_2\) are the conductivities of these wires respectively, the effective conductivity of the combination is:
| 1. | \(\dfrac{\sigma_1 \sigma_2}{\sigma_1+\sigma_2} \) | 2. | \(\dfrac{2 \sigma_1 \sigma_2}{\sigma_1+\sigma_2} \) |
| 3. | \(\dfrac{\sigma_1+\sigma_2}{2 \sigma_1 \sigma_2} \) | 4. | \(\dfrac{\sigma_1+\sigma_2}{\sigma_1 \sigma_2}\) |
Subtopic: Combination of Resistors |
69%
From NCERT
JEE
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In the circuit shown in the figure, applying Kirchhoff's loop rule to the loop \(abca\) gives:
1. \(-12+7I_1-4I_3=0\)
2. \(12+7I_1-4I_3=0\)
3. \(-12-7I_1+4I_3=0\)
4. \(-12+7I_1+4I_3=0\)
1. \(-12+7I_1-4I_3=0\)
2. \(12+7I_1-4I_3=0\)
3. \(-12-7I_1+4I_3=0\)
4. \(-12+7I_1+4I_3=0\)
Subtopic: Kirchoff's Voltage Law |
64%
From NCERT
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A battery gives a current of \(0.5~\text{A}\) when connected across an external resistor of resistance \(12~\Omega\) and a current of \(0.25~\text{A}\) when connected across an external resistor of resistance \(30~\Omega\) . What will be the emf of the battery?
1. \(4.5~\text{V}\)
2. \(9.0~\text{V}\)
3. \(13.5~\text{V}\)
4. \(18.0~\text{V}\)
1. \(4.5~\text{V}\)
2. \(9.0~\text{V}\)
3. \(13.5~\text{V}\)
4. \(18.0~\text{V}\)
Subtopic: EMF & Terminal Voltage |
62%
From NCERT
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A cell of emf \(4~\text{V}\) and internal resistance \(0.5~\Omega\) is connected to a \(7.5~\Omega\) external resistance. The terminal potential difference of the cell is:
| 1. | \(3.75~\text{V}\) | 2. | \(4.25~\text{V}\) |
| 3. | \(4~\text{V}\) | 4. | \(0.375~\text{V}\) |
Subtopic: EMF & Terminal Voltage |
74%
From NCERT
NEET - 2022
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The equivalent resistance of the infinite network given below is:
1. \(2~\Omega\)
2. \((1+\sqrt2)~\Omega\)
3. \((1+\sqrt3)~\Omega\)
4. \((1+\sqrt5)~\Omega\)
1. \(2~\Omega\)
2. \((1+\sqrt2)~\Omega\)
3. \((1+\sqrt3)~\Omega\)
4. \((1+\sqrt5)~\Omega\)
Subtopic: Combination of Resistors |
54%
From NCERT
NEET - 2022
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A silicon wafer of \(\mathrm{n}\)-type material with a cross-sectional area of \(3.14\times 10^{-6}\) m2, a conductivity of \(5.8\times 10^{7} \) siemens per metre, and an electron mobility of \(0.0032\) m2V–1s–1 is subjected to an electric field of \(20\) milli-V/m. (neglect hole concentration)
Match the items in Column-I with those in Column-II:
| Column-I | Column-II | ||
| (A) | The electron concentration in the wafer is | (P) | \(1.16\times 10^6\) SI units |
| (B) | The current density in the wafer is | (Q) | \(3.64\) SI units |
| (C) | The current flowing through the wafer is | (R) | \(6.4\times 10^{-5}\) SI units |
| (D) | The drift velocity of electrons is | (S) | \(1.13\times 10^{29}\) SI units |
| 1. | A(P), B(Q), C(R), D(S) |
| 2. | A(P), B(S), C(R), D(Q) |
| 3. | A(S), B(P), C(Q), D(R) |
| 4. | A(Q), B(P), C(R), D(S) |
Subtopic: Current & Current Density |
78%
From NCERT
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Given below are two statements:
| Statement I: | Kirchhoff’s current law is a consequence of the conservation of energy as applied to electric circuits. |
| Statement II: | Kirchhoff’s voltage law is a consequence of the conservation of charge. |
| 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: Kirchoff's Voltage Law |
70%
From NCERT
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The current in a simple series circuit is \(5.0\) A. When an additional resistance of \(2.0\) \(\Omega\) is inserted, the current decreases to \(4.0\) A. The original resistance of the circuit was:
1. \(1.25\) \(\Omega\)
2. \(8\) \(\Omega\)
3. \(10\) \(\Omega\)
4. \(20\) \(\Omega\)
Subtopic: Combination of Resistors |
81%
From NCERT
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