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Question: Answered & Verified by Expert
In an LCR series circuit, if the angular frequency is gradually in creased then match the following columns
PhysicsAlternating CurrentMHT CETMHT CET 2022 (05 Aug Shift 2)
Options:
  • A $(\mathrm{A})-(\mathrm{iv}),(\mathrm{B})-(\mathrm{i}),(\mathrm{C})-(\mathrm{ii}),(\mathrm{D})-(\mathrm{iii})$
  • B (A) - (i), (B) - (iii), (C) - (iv), (D) - (ii)
  • C $(\mathrm{A})-(\mathrm{ii}),(\mathrm{B})-(\mathrm{iii}),(\mathrm{C})-(\mathrm{i}),(\mathrm{D})-(\mathrm{iv})$
  • D $(A)-(i),(B)-(i v),(C)-(i i),(D)-(i i i)$
Solution:
1150 Upvotes Verified Answer
The correct answer is: $(\mathrm{A})-(\mathrm{iv}),(\mathrm{B})-(\mathrm{i}),(\mathrm{C})-(\mathrm{ii}),(\mathrm{D})-(\mathrm{iii})$
$\begin{aligned} & \mathrm{X}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}, \text { so } \mathrm{X}_{\mathrm{C}} \propto \frac{1}{\omega} \\ & \therefore(\mathrm{A})-(\mathrm{iv}) \\ & \mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}, \text { so } \mathrm{X}_{\mathrm{L}} \propto \omega \\ & \therefore(\mathrm{B})-(\mathrm{i})\end{aligned}$
And $\mathrm{R}$ is not a function of $\omega$
$\therefore(\mathrm{C})-(\mathrm{ii})$
Impedence $\mathrm{Z}$ is the minimum at resonance frequency.
$\therefore(\mathrm{D})-(\mathrm{iii})$

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