In the circuit diagram shown in the figure, which of the following is true?

1. Points A and C are at the same potential.

2. A is at a higher potential than C.

3. Magnitude of P.D. between A and C is 10 volt.

4. C is at a higher potential than A.

A capacitor is charged upto a potential V₀. It is then connected to a resistance R and a battery of emf $\epsilon$. Two possible graphs of potentials across capacitor vs time are shown.

What is the most reasonable explanation graphs?

1. The first graph shows what happens when the capacitor has a less than $\epsilon$ potential initially and the second shows what happens when it has a greater than $\epsilon$ potential initially.

2. The first graph shows what happens when the capacitor has a greater than E potential initially and the second shows what happens when it has a less than E potential initially.

3. The first graph is the correct qualitative shape for any initial potential, but the second is not possible

4. The second graph is the correct qualitative shape for any initial potential, but the first is not possible

In the charging process of R-C circuit, the time constant may be defined as the time during which:

1. capacitor voltage rises to 0.632 of its final steady value

2. charging current falls to 0.632 of its initial maximum value

3. capacitor voltage falls to 0.37 of its initial maximum value

4. capacitor voltage rises to 0.37 of its final steady value

The ammeter connected in the following circuits has zero resistance. The voltmeter in option 1 has infinite resistance and a reading of 8 V. The value of resistance R has not been specified. Which of the remaining circuits has the same current in the ammeter as option 1?

1. 

2. 

3. 

4. 

Two identical fuses are rated at 10 A. If they are joined:

1. in parallel, the combination acts as a fuse of rating 20 A.

2. in parallel, the combination acts as a fuse of rating 5 A.

3. in series, the combination acts as a fuse of rating 100 A.

4. in series, the combination acts as a fuse of rating 20 A.

A current passes through a wire of non-uniform cross-section. Which of the following quantities is independent of the cross-section?

1. the charge crossing in a given time interval

2. drift speed

3. current density

4. electric field

A cuboid has the longest dimension double the shortest dimension. Then the ratio of maximum to minimum resistance across its parallel faces is :

1. 2: 1

2. 4: 1

3. 8: 1

4. 3: 2 

In the circuit diagram, all the bulbs are identical. Which bulb will glow the brightest?

1. A

2. B

3. C

4. D

A battery or batteries, connected to two parallel plates produce equipotential lines between the plates as shown. Which of the following configurations is most likely to produce these equipotential lines?

1. 

2.

3. 

4. 

In the diagrams, all light bulbs are identical, all cells are ideal and identical. In which circuit will the bulbs be dimmest?

1. 

2. 

3. 

4.