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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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 |
 70%
From NCERT
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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%
From NCERT
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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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In the figure, the value of resistors to be connected between \(C\) and \(D\) so that the resistance of the entire circuit between \(A\) and \(B\) does not change with the number of elementary sets used is:

           
1. \(R\)
2. \(R(\sqrt{3}-1)\)
3. \(3R\)
4. \(R(\sqrt{3}+1)\)

Subtopic:  Combination of Resistors |
 56%
From NCERT
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A battery of emf \(10\) V is connected to resistance as shown in the figure below. The potential difference \(V_{A} - V_{B}\)
between the points \(A\) and \(B\) is:

 

1. \(-2\) V

2. \(2\) V

3. \(5\) V

4. \(\frac{20}{11}~\text{V}\)

Subtopic:  Kirchoff's Voltage Law |
 67%
From NCERT
PMT - 1994
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What is the equivalent resistance of the circuit​​​​​?

           

1. \(6~\Omega\)
2. \(7~\Omega\)
3. \(8~\Omega\)
4. \(9~\Omega\)

Subtopic:  Combination of Resistors |
 70%
From NCERT
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If each resistance in the figure is \(9~\Omega\), then the reading of the ammeter is:


1. \(5~\text{A}\)
2. \(8~\text{A}\)
3. \(2~\text{A}\)
4. \(9~\text{A}\)

Subtopic:  Combination of Resistors |
 60%
From NCERT
PMT - 2000
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Equivalent resistance across terminals \(A\) and \(B\) will be:

          
1. \(1~\Omega\)
2. \(2~\Omega\)
3. \(3~\Omega\)
4. \(4~\Omega\)

Subtopic:  Combination of Resistors |
 71%
From NCERT
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