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. \(\dfrac{v}{2}\)
3. \(\dfrac{v}{4}\) 4. \(\dfrac{v}{8}\)

Subtopic:  Current & Current Density |
 73%
From NCERT
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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 current \(I\) as shown in the circuit will be:

1. \(10~\text{A}\) 2. \(\dfrac{20}{3}~\text{A}\)
3. \(\dfrac{2}{3}~\text{A}\) 4. \(\dfrac{5}{3}~\text{A}\)
Subtopic:  Combination of Resistors |
 61%
From NCERT
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A meter bridge is set up to determine unknown resistance \(x\) using a standard \(10~\Omega\) resistor. The galvanometer shows the null point when the tapping key is at a \(52\) cm mark. End corrections are \(1\) cm and \(2\) cm respectively for end \(A\) and \(B\). Then the value of \(x\) is:

      
1. \(10.2~\Omega\)
2. \(10.6~\Omega\)
3. \(10.8~\Omega\)
4. \(11.1~\Omega\)

Subtopic:  Meter Bridge & Potentiometer |
 52%
From NCERT
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A galvanometer of resistance \(240~\Omega\) allows only \(4\%\) of the main current after connecting a shunt resistance. What is the value of shunt resistance?
1. \(10~\Omega\)
2. \(20~\Omega\)
3. \(8~\Omega\)
4. \(5~\Omega\)

Subtopic:  Conversion to Ammeter & Voltmeter |
 75%
From NCERT
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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%
From NCERT
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The resistivity of iron is 1 × 10–7 ohm m. The resistance of iron wire of particular length and thickness is 1 ohm. If the length and the diameter of wire both are doubled, then the resistivity in ohm m will be :

1. 1 × 10–7

2. 2 × 10–7

3. 4 × 10–7

4. 8 × 10–7

Subtopic:  Derivation of Ohm's Law |
 67%
From NCERT
PMT - 1983
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The temperature coefficient of resistance for a wire is 0.00125/°C. At 300K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm is 

1. 1154 K

2. 1100 K

3. 1400 K

4. 1127 K

Subtopic:  Derivation of Ohm's Law |
PMT - 2001
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The resistivity of a wire :

1. Increases with the length of the wire
2. Decreases with the area of cross-section
3. Decreases with the length and increases with the cross-section of the wire
4. None of the above statement is correct
Subtopic:  Derivation of Ohm's Law |
 73%
From NCERT
PMT - 1984
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Drift velocity \(v_d\) varies with the intensity of the 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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