Two cells when connected in series are balanced on 8m on a potentiometer. If the cells are connected with polarities of one of the cells  reversed, they balance on 2m. The ratio of e.m.f.'s of the two cells is

(1) 3 : 5

(2) 5 : 3

(3) 3 : 4

(4) 4 : 3

A voltmeter has a resistance of G ohms and range V volts. The value of resistance used in series to convert it into a voltmeter of range nV volts is :

(1) nG

(2) $(n-1)G$

(3) $\frac{G}{n}$ 

(4) $\frac{G}{(n-1)}$

Which of the following statement is wrong:

(1) Voltmeter should have high resistance

(2) Ammeter should have low resistance

(3) Ammeter is placed in parallel across the conductor in a circuit

(4) Voltmeter is placed in parallel across the conductor in a circuit

In the diagram shown, the reading of voltmeter is 20 V and that of ammeter is 4 A. The value of R should be (consider given ammeter and voltmeter are not ideal) :

(1) Equal to 5 Ω

(2) Greater from 5 Ω

(3) Less than 5 Ω

(4) Greater or less than 5 Ω depends on the material of R

A moving coil galvanometer has a resistance of 50 Ωand gives full scale deflection for 10 mA. How could it be converted into an ammeter with a full scale deflection for 1A :

(1) 50/99 Ω in series

(2) 50/99 Ω in parallel

(3) 0.01 Ω in series

(4) 0.01 Ω in parallel

Which is a wrong statement :

(1) The Wheatstone bridge is most sensitive when all the four resistances are of the same order

(2) In a balanced Wheatstone bridge, interchanging the positions of galvanometer and cell affects the balance of the bridge

(3) Kirchhoff's first law (for currents meeting at a junction in an electric circuit) expresses the conservation of charge

(4) The rheostat can be used as a potential divider

\(AB\) is a wire of uniform resistance. The galvanometer \(G\) shows no current when the length \(AC= 20~\text{cm}\) and \(CB = 80~\text{cm}\). The resistance \(R\) is equal to: 

1. \(2~\Omega\)
2. \(8~\Omega\)
3. \(20~\Omega\)
4. \(40~\Omega\)

The circuit shown here is used to compare the e.m.f. of two cells $E_1$ and $E_2(E_1>E_2)$. The null point is at C when the galvanometer is connected to E₁. When the galvanometer is connected to E₂, the null point will be 

(1) To the left of C

(2) To the right of C

(3) At C itself

(4) Nowhere on AB

In the Wheatstone's bridge (shown in the figure below) \(X=Y\) and \(A>B\). The direction of the current between \(a\) and \(b\) will be:

A resistance of 4 Ω and a wire of length 5 metres and resistance 5 Ω are joined in series and connected to a cell of e.m.f. 10 V and internal resistance 1 Ω. A parallel combination of two identical cells is balanced across 300 cm of the wire. The e.m.f. E of each cell is:

1. 1.5 V

2. 3.0 V

3. 0.67 V

4. 1.33 V