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Q. No.Consider a thin rectangular sheet of side \(L,\) width \(b\) and thickness \(t,\) made of a material of resistivity \(\rho\). The resistance between two opposite faces, shown by the shaded areas in the figure is:
1.
directly proportional to \(b\)
2.
inversely proportional to \(t\)
3.
inversely proportional to \(L\)
4.
both (1) and (2)
Subtopic: Derivation of Ohm's Law |
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Four identical bulbs \(A\), \(B\), \(C\) and \(D\) are connected in a circuit as shown in the figure. Now whenever any bulb fails, then it cannot conduct current through it. Then which of the following statements is/are true?
| i. | brightness of bulb \(C\) is highest. |
| ii. | if \(A\) fails, \(B\) will not glow. |
| iii. | if \(C\) fails, brightness of bulb \(D\) increases. |
| 1. | (i) only |
| 2. | (ii) only |
| 3. | (i) and (ii) only |
| 4. | (ii) and (iii) only |
Subtopic: Heating Effects of Current |
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Kirchhoff's second law is based on the law of conservation of:
| 1. | charge |
| 2. | energy |
| 3. | momentum |
| 4. | sum of mass and energy |
Subtopic: Kirchoff's Voltage Law |
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The resistance between points A and B in the circuit shown in the following figure is:
1. 10 \(\Omega\)
2. 20 \(\Omega\)
3. 30 \(\Omega\)
4. 40 \(\Omega\)
1. 10 \(\Omega\)
2. 20 \(\Omega\)
3. 30 \(\Omega\)
4. 40 \(\Omega\)
Subtopic: Combination of Resistors |
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The current-voltage graph for a given metallic conductor at two different temperatures \(T_{1}\) and \(T_{2}\) is as shown in the figure. Then:
1. \(T_{1}=T_{2}\)
2. \(T_{2}>T_{1}\)
3. \(T_{1}>T_{2}\)
4. nothing can be said
1. \(T_{1}=T_{2}\)
2. \(T_{2}>T_{1}\)
3. \(T_{1}>T_{2}\)
4. nothing can be said
Subtopic: Derivation of Ohm's Law |
75%
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Two resistors of resistance, \(100\) \(\Omega\) and \(200\) \(\Omega\) are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in \(100\) \(\Omega\) resistor to that in \(200\) \(\Omega\) resistor in a given time is:
1. \(4:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)
1. \(4:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)
Subtopic: Heating Effects of Current |
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A copper wire of length \(10\) m and radius \(\left({10^{-2}/\sqrt{\pi}}\right)\) m has an electrical resistance of \(10~\Omega.\) The current density in the wire for an electric field strength of \(10\) (V/m) is:
1. \(10^{5}\) A/m2
2. \(10^{4}\) A/m2
3. \(10^{6}\) A/m2
4. \(10^{-5}\) A/m2
1. \(10^{5}\) A/m2
2. \(10^{4}\) A/m2
3. \(10^{6}\) A/m2
4. \(10^{-5}\) A/m2
Subtopic: Current & Current Density |
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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): | Terminal voltage of a cell is greater than emf of a cell during charging of the cell. |
| Reason (R): | The emf of a cell is always greater than its terminal voltage |
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: EMF & Terminal Voltage |
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The plot of current \(I~\text{(A)}\) flowing through a metallic conductor versus the applied voltage \(V~\text{(volt)}\) across the ends of a conductor is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Derivation of Ohm's Law |
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Given below are two statements:
| Assertion (A): | Though a large number of free electrons are present in the metal. Yet there is no current in the absence of an electric field. |
| Reason (R): | In the absence of an electric field, electrons move randomly in all directions. |
| 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. | Both (A) and (R) are false. |
Subtopic: Current & Current Density |
87%
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