QJEEM23Ph1db3: JEE Main 2023 Physics - Class 12 JEEM23Ph1db3 Solution: The charge flowing in a conductor changes with time as Q ( t )…

Question

Verified Solution • 2025–26 Session moderate

QJEEM23Ph1db3: JEE Main 2023 Physics - Class 12 JEEM23Ph1db3 Solution: The charge flowing in a conductor changes with time as Q ( t )…

The charge flowing in a conductor changes with time as $Q (t) = α t - β t^{2} + γ t^{3}$ . Where $α, β$ and $γ$ are constants. Minimum value of current is :

Multiple Choice Options

A β−α23γ
B α−3β2γ
C α−β23γ
D α−γ23β

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring

Accepted Answer

$Q (t) = α t - β t^{2} + γ t^{3}$

$i (t) = α - 2 β t + 3 γ t^{2}$

$\frac{d i}{d t} = - 2 β + 6 γ t = 0$ (for max/min of i)

at $t = \frac{β}{3 r}$ (i is minimum as i is an upward parabola)

$i (\frac{β}{3 γ}) = α - 2 β (\frac{β}{3 γ}) + \frac{3 γ β^{2}}{9 γ^{2}}$

$= α \frac{- β^{2}}{3 γ}$

QJEEM23Ph1db3: JEE Main 2023 Physics - Class 12 JEEM23Ph1db3 Solution: The charge flowing in a conductor changes with time as Q ( t )…

Multiple Choice Options

Step-by-Step Verified Solution

Related Learning Resources & Exam Preparation