A voltmeter of resistance \(660~\Omega\)$\mathrm{}$ reads the voltage of a very old cell to be \(1.32\) V while a potentiometer reads its voltage to be \(1.44\) V. The internal resistance of the cell is:
1. \(30~\Omega\)$\mathrm{}$ 
2. \(60~\Omega\)
3. \(6~\Omega\)
4. \(0.6~\Omega\)$\mathrm{}$

An ammeter A of finite resistance and a resistor R are joined in series to an ideal cell C. A potentiometer P is joined in parallel to R. The ammeter reading is ${\mathrm{I}}_0$ and the potentiometer reading is V₀ . P is now replaced by a voltmeter of finite resistance. The ammeter reading now is I and the voltmeter reading is V.

It can be concluded that:

1. $\mathrm{I}>{\mathrm{I}}_0,$ $\mathrm{V}<{\mathrm{V}}_0$

2. $\mathrm{I}>{\mathrm{I}}_0,$ $\mathrm{V}={\mathrm{V}}_0$

3. $\mathrm{I}={\mathrm{I}}_0,$ $\mathrm{V}<{\mathrm{V}}_0$

4. $\mathrm{I}<{\mathrm{I}}_0,$ $\mathrm{V}={\mathrm{V}}_0$

In the following circuit, the battery $E_1$ has an e.m.f of 12 volts and zero internal resistance while the battery E has an e.m.f of 2 volts. If the galvanometer G reads zero, then the value of the resistance X in ohms is:

               
1. 10
2. 100
3. 500
4. 200

The figure below shows currents in a part of the electric circuit. The current \(i\) is:
    
1. \( 1.7 \mathrm{~A} \)
2. \( 3.7 \mathrm{~A} \)
3. \( 1.3 \mathrm{~A} \)
4. \( 1 \mathrm{~A}\)

What is the equivalent resistance between A and B in the figure below if R = 3 $\Omega$?
                   
1. 9 $\Omega$

2. 12 $\Omega$

3. 15 $\Omega$

4. None of these

The potentiometer wire AB is 600 cm long. At what distance from A should the jockey J touch the wire to get zero deflection in the galvanometer?

1. 320 cm

2. 120 cm

3. 20 cm

4. 450 cm

A torch bulb rated 4.5 W, 1.5 V is connected as shown in the figure below. The emf of the cell needed to make the bulb glow at full intensity is:

1. 4.5 V

2. 1.5 V

3. 2.67 V

4. 13.5 V

The metre bridge shown is in a balanced position with \(\frac{P}{Q} = \frac{l_1}{l_2}\). If we now interchange the position of the galvanometer and the cell, will the bridge work? If yes, what will be the balanced condition?

    
1. Yes, \(\frac{P}{Q}=\frac{l_1-l_2}{l_1+l_2}\)
2. No, no null point
3. Yes, \(\frac{P}{Q}= \frac{l_2}{l_1}\)
4. Yes, \(\frac{P}{Q}= \frac{l_1}{l_2}\)

What is total resistance across terminals A and B in the following network?

1. R

2. 2R

3. $\frac{3R}{5}$

4. $\frac{2R}{3}$

The Wheatstone bridge shown in the figure below is balanced when the uniform slide wire AB is divided as shown. Value of the resistance X is:
        

1. 3 $\mathrm{\Omega }$

2. 4 $\mathrm{\Omega }$

3. 2 $\mathrm{\Omega }$

4. 7 $\mathrm{\Omega }$