A circuit is connected as shown in the figure with the switch S open. When the switch is closed, the total amount of charge that flows from Y to X is

Column I gives certain situations in which a straight metallic wire of resistance R is used and Column II gives some resulting effects. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the 4 $$\times$$ 4 matrix given in the ORS.
| Column I | Column II | ||
|---|---|---|---|
| (A) | A charged capacitor is connected to the ends of the wire | (P) | A constant current flows through the wire |
| (B) | The wire is moved perpendicular to its length with a constant velocity in a uniform magnetic field perpendicular to the plane of motion | (Q) | Thermal energy is generated in the wire |
| (C) | The wire is placed in a constant electric field that has a direction along the length of the wire. | (R) | A constant potential difference develops between the ends of the wire |
| (D) | A battery of constant emf is connected to the ends of the wire | (S) | Charges of constant magnitude appear at the ends of the wire |
In the following circuits, it is given that $\mathrm{R}_1=1 \Omega, \mathrm{R}_2=2 \Omega, \mathrm{C}_1=2 \mu \mathrm{~F}$ and $\mathrm{C}_2=4 \mu \mathrm{~F}$.
The time constants (in $\mu \mathrm{s}$ ) for the circuits I, II, III are, rcspectively.In the given circuit, the switch S is closed at time $$t=0$$. The charge Q on the capacitor at any instant t is given by $$Q(t)=Q_0(1-e^{-\alpha t})$$. Find the value of Q$$_0$$ and $$\alpha$$ in terms of given parameters shown in the circuit.

JEE Advanced Subjects
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