$A, B$ and $C$ are three concentric metallic shells. Shell $A$ is the inner most and shell $C$ is the outermost. $A$ is given some charge and shell $C$ is earthed. Select the correct statement(s).

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

The outer surface of $A, B$ and $C$ will have the same charge

The inner surfaces of $B$ and $C$ will have the same charge

The outer surface of $C$ will have no charge density

The inner surface of $B$ and $C$ will have same charge density

answer is A, D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The distribution of charges is shown in figure. We see that the inner surface of $B$ and $C$ possess the same charge $- Q .$ Also if $x$ is charge on outer surface of $C$ , then

$V_{C} = 0 \Rightarrow \frac{Q}{4 π ε_{0} c} + (\frac{- Q + Q}{4 π ε_{0} c}) + \frac{- Q + x}{4 π ε_{0} c} = 0 \Rightarrow x = 0$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!