Question

The circuit shown in the figure contains an inductor

L

, a capacitor

C_{0}

, a resistor

R_{0}

and an ideal battery. The circuit also contains two keys

K_{1}

and

K_{2}

. Initially, both the keys are open and there is no charge on the capacitor. At an instant, key

K_{1}

is closed and immediately after this the current in

R_{0}

is found to be

I_{1}

. After a long time, the current attains a steady state value

I_{2}

. Thereafter,

K_{2}

is closed and simultaneously

K_{1}

is opened and the voltage across

C_{0}

oscillates with amplitude

V_{0}

and angular frequency

ω_{0}

.

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I
(P)	The value of $I_{1}$ in Ampere is
(Q)	The value of $I_{2}$ in Ampere is
(R)	The value of $ω_{0}$ in kilo-radians/s is
(S)	The value of $V_{0}$ in Volt is

List-II
(1)	0
(2)	2
(3)	4
(4)	20
(5)	200

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

| List-I | |
|--------|--------|
| (P) | The value of $I_{1}$ in Ampere is |
| (Q) | The value of $I_{2}$ in Ampere is |
| (R) | The value of $\omega_{0}$ in kilo-radians/s is |
| (S) | The value of $\mathrm{V}_{0}$ in Volt is |

| List-II | |
|---------|--------|
| (1) | 0 |
| (2) | 2 |
| (3) | 4 |
| (4) | 20 |
| (5) | 200 |

Accepted Answer

(A) $\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 5$

Answer

(B) $\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 5$

Answer

(C) $\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 4$

Answer

(D) $\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 5 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 4$

JEE Advanced · 2024 · 26 May 2024 · Paper 1 · Electromagnetic Induction

Solution

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