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.	\(\dfrac{5 R}{6}\)	2.	\(\dfrac{6 R}{5}\)
3.	\(12 R\)	4.	\(3 R\)

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:

 
Which of the above statements are correct?

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:

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 of \(𝐴 _1 / 𝐴 _2  \) is:
1. \(1.5\)
2. \(1\)
3. \(0.8\)
4. \(2\)

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 \(100~\text{W},\) \(240~\text{V}\) bulb is operated at \(200~\text{volt},\) the current in it is:
1. \(0.35~\text{A}\)
2. \(0.42~\text{A}\)
3. \(0.50~\text{A}\)
4. \(0.58~\text{A}\)

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. \(12~\Omega\)$$