The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the radius and current are doubled, then the drift velocity will be:
1.  \(v\)
2. \(\frac{v}{2}\)
3. \(\frac{v}{4}\)
4. \(\frac{v}{8}\)

Subtopic:  Current & Current Density |
 72%
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A battery has emf \(4\) V and internal resistance \(r\). When this battery is connected to an external resistance of \(2\) ohm, a current of \(1\) ampere flows in the circuit. How much current will flow if the terminals of the battery are connected directly?
1. \(1\) A 2. \(2\) A
3. \(4\) A 4. Infinite
Subtopic:  EMF & Terminal Voltage |
 66%
From NCERT
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The equivalent resistance between \(A\) and \(B\) is:

         

1. \(3~\Omega\)
2. \(6~\Omega\)
3. \(9~\Omega\)
4. \(12~\Omega\)

Subtopic:  Combination of Resistors |
 72%
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The current \(I\) as shown in the circuit will be:

                  

1. \(10~\text{A}\)
2. \(\frac{20}{3}~\text{A}\)
3. \(\frac{2}{3}~\text{A}\)
4. \(\frac{5}{3}~\text{A}\)

Subtopic:  Combination of Resistors |
 60%
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The current through the \(5~\Omega\) resistor is:

 

1. \(3.2\) A                     

2. \(2.8\) A

3. \(0.8\) A                     

4. \(0.2\) A

Subtopic:  Kirchoff's Voltage Law |
 68%
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The current in a wire varies with time according to the relation \(i = (3+2t)~\text{A}\). The amount of charge passing a cross section of the wire in the time interval \(t=0\) to \(t = 4.0~\text{s}\)  would be: (where \(t\) is time in seconds)
1. \(28\) C 2. \(30.5\) C
3. \(8\) C 4. \(82\) C
Subtopic:  Current & Current Density |
 85%
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In the circuit shown, the value of each of the resistances is \(r\). The equivalent resistance of the circuit between terminals \(A\) and \(B\) will be:
          
1. \(\frac{4r}{3}\)
2. \(\frac{3r}{2}\)
3. \(\frac{r}{3}\)
4. \(\frac{8r}{7}\)

Subtopic:  Combination of Resistors |
 69%
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Drift velocity \(v_d\) varies with the intensity of electric field as per the relation:
1. \(v_{d} \propto E\)
2. \(v_{d} \propto \frac{1}{E}\)
3. \(v_{d}= \text{constant}\)
4. \(v_{d} \propto E^2\)

Subtopic:  Current & Current Density |
 78%
From NCERT
PMT - 1981
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If a metallic block has no potential difference applied across it, then the mean velocity of free electron is:
(\(T\)= absolute temperature of the block)
1. proportional to \(T\). 2. proportional to\(\sqrt{T} \)
3. zero. 4. finite but independent of temperature.
Subtopic:  Current & Current Density |
 52%
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A wire of resistance \(R\) is divided into \(10\) equal parts. These parts are connected in parallel, the equivalent resistance of such connection will be:
1. \(0.01R\)
2. \(0.1R\)
3. \(10R\)
4. \(100R\)

Subtopic:  Combination of Resistors |
 63%
From NCERT
PMT - 1973
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