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

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):
 
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 |
 84%
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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 |
 79%
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NEET - 2022
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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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Given below are two statements: 
Assertion (A): A \(60\) W - \(220\) V bulb glows more than a \(100\) W - \(220\) V bulb when they are connected in series across a potential difference.
Reason (R): When they are connected in series, the resistance of the \(100\) W bulb will be more.
 
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:  Heating Effects of Current |
 63%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Insulators do not allow flow of current through themselves.
Reason (R): They have no free charge carriers.
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. Both (A) and (R) are false.
Subtopic:  Current & Current Density |
 92%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
 
Assertion (A): In a simple battery circuit, the point of the lowest potential is positive terminal of the battery.
Reason (R): The current flows towards the point of the higher potential, as it does in such a circuit from the negative to the positive terminal.

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. Both (A) and (R) are false.



 
Subtopic:  Current & Current Density |
 76%
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A circuit consists of five identical conductors as shown in the figure. The two similar conductors are added as indicated by the dotted lines. The ratio of resistances before and after addition will be:
     
1. \(7/5\)
2. \(3/5\)
3. \(5/3\)
4. \(6/5\)
Subtopic:  Combination of Resistors |
 84%
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In the given figure, the value of \(V_{0}\) will be: 
          
1. \(2\) V
2. \(4\) V
3. \(6\) V
4. \(3\) V
Subtopic:  Kirchoff's Voltage Law |
 80%
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A wire made of a metal of uniform resistivity \(1.0\times 10^{-6}~\mathrm{\Omega \text-m}\)  is \(2.0~\mathrm{m}\) long and has a diameter of \(2.0\times 10^{-3}~\mathrm{m}\). What is the electrical resistance of this length of the wire?
1. \(\frac {2.0 ~\times~10^{-3}}{\pi} ~\Omega\)

2. \(5.0 ~\times~10^{-13}\pi~\Omega\)

3. \(\frac {1.0}{2\pi}~\Omega\)

4. \(\frac{2.0}{\pi}~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 83%
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