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 constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed doubles if:

Kirchhoff's junction rule is a reflection of:

Which of the above statements are correct?
1. b and c
2. a and c
3. b and d
4. c and d

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 circuit shown in the figure, the current \(I\) will be:

1. \(0.75~\text{A}\)
2. \(1~\text{A}\) 
3. \(1.5~\text{A}\)
4. \(0.5~\text{A}\)

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:

For the circuit given below, Kirchhoff's loop rule for the loop \(BCDEB\) is given by the equation:

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

When a 100 W, 240 V bulb is operated at 200 volt, the current in it is:

1. 0.35 A

2. 0.42 A

3. 0.50 A

4. 0.58 A

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 $\Omega$