Two solid conductors are made up of the same material and have the same length and the same resistance. One of them has a circular cross-section of area $A_1$ and the other one has a square cross-section of area $A_2$. The ratio $A_1/A_2$ is:

1.	\(1.5\)	2.	\(1\)
3.	\(0.8\)	4.	\(2\)

The equivalent resistance between \(A\) and \(B\) for the mesh shown in the figure is:

A \(5-\)ampere fuse wire can withstand a maximum power of \(1\) watt in a circuit. The resistance of the fuse wire is:

A battery is charged at a potential of 15 V for 8 hours when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 hours. The mean terminal voltage during discharges is 14 V. The "Watt hour" efficiency of the battery is:

1. 80%

2. 90%

3. 87.5%

4. 82.5% 

Twelve wires of equal resistance R are connected to form a cube. The effective resistance between two diagonal ends A and E will be:

1. $\frac{5\mathrm{R}}{6}$

2. $\frac{6\mathrm{R}}{5}$

3. $12\mathrm{R}$

4. $3\mathrm{R}$

A charged particle having drift velocity of \(7.5\times10^{-4}~\text{ms}^{-1}\) in an electric field of \(3\times10^{-10}~\text{Vm}^{-1}\), has mobility of: 
1. \(2.5\times 10^{6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
2. \(2.5\times 10^{-6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
3. \(2.25\times 10^{-15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
4. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

For the given circuit, the value of the resistance in which the maximum heat is produced is:
          
1. 2 $\Omega$

2. 6 $\Omega$ 

3. 4 $\Omega$

4. 12 $\Omega$

A potential divider is used to give outputs of 2 V and 3 V from a 5 V source, as shown in the figure.

Which combination of resistances, from the ones given below, ${\mathrm{R}}_1,$ ${\mathrm{R}}_2,$ $\mathrm{and}$ ${\mathrm{R}}_3$ give the correct voltages?

Two batteries, one of emf 18V and internal resistance 2 $\mathrm{\Omega }$ and the other of emf 12 V and internal resistance 1 $\mathrm{\Omega ,}$ are connected as shown. Reading of the voltmeter is:
(if voltmeter is ideal)

1.  14 V

2.  15 V

3.  18 V

4.  30 V

Current through the \(2~\Omega\)$$ resistance in the electrical network shown is: