JEE Main 2015 — Alternating Current Question with Solution
JEE Main 2015 (04 Apr)
Question
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to and then connected to the L and R as shown below:

If a student plots graphs of the square of maximum charge on the capacitor with time (t) for two different values and of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)

If a student plots graphs of the square of maximum charge on the capacitor with time (t) for two different values and of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)
Choose an option
Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation
Comparing to the damped pendulum. We write, , is resistive force, Amplitude, . Comparing results, we can write
, as charge decreasing,

.
Exponentially decreasing function, graph has higher values than .
, as charge decreasing,

.
Exponentially decreasing function, graph has higher values than .
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 2015, 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.