JEE Main 2022PhysicsAlternating CurrentAc Circuits And Power In Ac CircuitsmediumNumerical

JEE Main 2022Alternating Current Question with Solution

From: JEE Main 2022 (Online) 28th June Morning Shift

Question

A telegraph line of length 100 km has a capacity of 0.01 F/km and it carries an alternating current at 0.5 kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in series is _____________ mH. (if = )

Enter your answer

Show full solutionCorrect answer: 100
Correct answer
100

Step-by-step explanation

Total capacitance = 0.01 100 = 1 F

= 500 2 = 1000 rad/s

= 100 mH

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Alternating Current chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, covering the Alternating Current chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.