A copper wire of length \(10\) m and radius \(\left({10^{-2}/\sqrt{\pi}}\right)\) m has an electrical resistance of \(10~\Omega.\) The current density in the wire for an electric field strength of \(10\) (V/m) is: 
1. \(10^{5}\) A/m²
2. \(10^{4}\) A/m²
3. \(10^{6}\) A/m²
4. \(10^{-5}\) A/m²

The plot of current \(I~\text{(A)}\) flowing through a metallic conductor versus the applied voltage \(V~\text{(volt)}\) across the ends of a conductor is:

1.		2.
3.		4.

A network of resistors is connected across a \(10~\text{V}\) battery with an internal resistance of \(1~\Omega\) as shown in the circuit diagram. The equivalent resistance of the circuit is:
         
1.  \(\frac{17}{3}~\Omega\)
2.  \(\frac{14}{3}~\Omega\)
3.  \(\frac{12}{7}~\Omega\)
4.  \(\frac{14}{7}~\Omega\)

In a meter bridge experiment, the null point is at a distance of \(30~\text{cm}\) from \(\mathrm{A}\). If a resistance of \(16~\Omega\) is connected in parallel with resistance \(Y\), the null point occurs at \(50~\text{cm}\) from \(\mathrm{A}\). The value of the resistance \(Y\) is:
   
1. \(\frac{112}{3}~\Omega\)
2.  \(\frac{40}{3}~\Omega\)
3.  \(\frac{64}{3}~\Omega\)
4.  \(\frac{48}{3}~\Omega\)