1
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

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

IIT-JEE 2007 Paper 1 Offline Physics - Capacitor Question 8 English

A
0
B
54 $$\mu$$C
C
27 $$\mu$$C
D
81 $$\mu$$C
2
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

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

A
A $$\to$$ (Q); B $$\to$$ (R); C $$\to$$ (R, S); D $$\to$$ (P, Q)
B
A $$\to$$ (Q); B $$\to$$ (R, S); C $$\to$$ (R, S); D $$\to$$ (P, Q, R)
C
A $$\to$$ (Q); B $$\to$$ (R, S); C $$\to$$ (R); D $$\to$$ (Q, R)
D
A $$\to$$ (Q, R); B $$\to$$ (R, S); C $$\to$$ (R); D $$\to$$ (P, Q, R)
3
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

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 $\mathrm{C}_2=4 \mu \mathrm{~F}$.

IIT-JEE 2006 Physics - Capacitor Question 2 EnglishThe time constants (in $\mu \mathrm{s}$ ) for the circuits I, II, III are, rcspectively.
A

$18,8 / 9,4$

B

$18,4,8 / 9$

C

$4,8 / 9,18$

D

$8 / 9,18,4$

4
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

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.

IIT-JEE 2005 Mains Physics - Capacitor Question 6 English

A
$$\mathrm{Q_0=\frac{2CVR_2}{R_1+R_2};\alpha=\frac{(R_1+R_2)}{CR_1R_2}}$$
B
$$\mathrm{Q_0=\frac{CVR_2}{R_1+R_2};\alpha=\frac{(R_1+R_2)}{3CR_1R_2}}$$
C
$$\mathrm{Q_0=\frac{CVR_2}{R_1+R_2};\alpha=\frac{(R_1+R_2)}{CR_1R_2}}$$
D
$$\mathrm{Q_0=\frac{2CVR_2}{R_1+R_2};\alpha=\frac{(R_1+R_2)}{3CR_1R_2}}$$

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