A battery of 6 volts is connected to the terminals of a three metre long wire of uniform thickness and resistance of the order of 100 Ω. The difference of potential between two points separated by 50cm on the wire will be :

1. 1 V

2. 1.5 V

3. 2 V

4. 3 V

A potentiometer is used for the comparison of e.m.f. of two cells E₁ and E₂. For cell E₁ the no deflection point is obtained at 20cm and for E₂ the no deflection point is obtained at 30cm. The ratio of their e.m.f.'s will be 

1. 2/3

2. 1/2

3. 1

4. 2

If the length of the potentiometer wire is increased, then the length of the previously obtained balance point will :

1. Increase

2. Decrease

3. Remain unchanged

4. Become two times

If in the experiment of Wheatstone's bridge, the positions of cells and galvanometer are interchanged, then balance points will

1. Change

2. Remain unchanged

3. Depend on the internal resistance of cell and resistance of galvanometer

4. None of these

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

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

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: