In the circuit shown below, the switch \( S \) is connected to position \( P \) for a long time so that the charge on the capacitor becomes \( q_1 \, \mu\text{C} \). Then \( S \) is switched to position \( Q \). After a long time, the charge on the capacitor is \( q_2 \, \mu\text{C} \).
The magnitude of \( q_1 \) is _____.
A metal wire of cross-sectional area \(0.5 \, \text{mm}^2\) and length \(100 \, \text{m}\) is connected across a battery of e.m.f. \(2 \, \text{V}\) and internal resistance \(1 \, \Omega\). The density, atomic mass and electrical conductivity of the metal are \(6.35 \times 10^{3} \, \text{kg}/\text{m}^{3}\), \(63.5 \, \text{gm}/\text{mole}\) and \(2 \times 10^{8} \, \text{mho m}^{-1}\) respectively. Assuming one conduction electron per atom of the metal, the drift velocity (in \(\text{mm s}^{-1}\)) of the electrons in the wire is:
[Take Avogadro’s number as \(6 \times 10^{23}\) and charge of the electron as \(1.6 \times 10^{-19} \, \text{C}\).]
