Three identical capacitors are given a charge Q each and they are then allowed to discharge through resistance R₁, R₂ and R₃. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is

(1) R₃

(2) R₂

(3) R₁

(4) Cannot be predicted

The plates of a capacitor are charged to a potential difference of 320 volts and are then connected across a resistor. The potential difference across the capacitor decays exponentially with time. After 1 second the potential difference between the plates of the capacitor is 240 volts, then after 2 and 3 seconds the potential difference between the plates will be 

(1) 200 and 180 V

(2) 180 and 135 V

(3) 160 and 80 V

(4) 140 and 20 V

As in figure shown, if a capacitor C is charged by connecting it with resistance R, then energy  given by the battery will be 

(1) $\frac{1}{2}C{V}^2$

(2) More than $\frac{1}{2}C{V}^2$

(3) Less than $\frac{1}{2}C{V}^2$

(4) Zero

In the figure below, what is the potential difference between the point A and B and between B and C, respectively, in steady state?

1. $V_{AB}=V_{BC}=100V$

2. $V_{AB}=75V,V_{BC}=25V$

3. $V_{AB}=25V,V_{BC}=75V$

4. $V_{AB}=V_{BC}=50V$

Two wires of equal diameters, of resistivities ρ₁ and ρ₂ and lengths l₁ and l₂, respectively, are joined in series. The equivalent resistivity of the combination is :

(1) $\frac{{\rho }_1{l}_1+{\rho }_2{l}_2}{l_1+l_2}$

(2) $\frac{{\rho }_1{l}_2+{\rho }_2{l}_1}{l_1-l_2}$

(3) $\frac{{\rho }_1{l}_2+{\rho }_2{l}_1}{l_1+l_2}$

(4) $\frac{{\rho }_1{l}_1-{\rho }_2{l}_2}{l_1-l_2}$ 

The resistance in the two arms of the balanced meter bridge as shown in figure are 5 and R, respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6l₁. The resistance 'R' is : 

1. 10

2. 15

3. 20 

4. 25

Three resistances P, Q, R each of 2Ω and an unknown resistance S form the four arms of a Wheatstone’s bridge circuit. When the resistance of 6 Ω is connected in parallel to S the bridge gets balanced. What is the value of S?

1. 2 $\Omega$

2. 3 $\Omega$

3. 6 $\Omega$

4. 1 $\Omega$ 

Six similar bulbs are connected as shown in the figure with a DC source of emf E and zero internal resistance.

The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be:

1. 2: 1

2. 4: 9

3. 9: 4

4. 1: 2

In a discharge tube ionization of enclosed gas is produced due to collisions between:

1. positive ions and neutral atoms/molecules

2. negative electrons and neutral atoms/molecules

3. photons and neutral atoms/molecules

4. neutral gas atoms/molecules