Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Q.

A point charge 'q' is placed at the centre of an uncharged conducting shell of inner radius R and outer radius 2R. If the point charge is removed from the centre of the shell, to infinity (without any electric contact with the shell), work done by electric force is:

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

a

$\frac{- q^{2}}{16 π \in_{0} R}$

b

$\frac{- 3 q^{2}}{8 π \in_{0} R}$

c

$\frac{3 q^{2}}{8 π \in_{0} R}$

d

$\frac{q^{2}}{16 π \in_{0} R}$

answer is B.

(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

$U_{in} = U_{self} = (U_{due to outer} - U_{due to inner})$

Question Image

$= \frac{q^{2}}{16 {πε}_{0} R} - \frac{q^{2}}{8 {πε}_{0} R} = - \frac{q^{2}}{16 {πε}_{0} R}$

And finally the potential energy of the system is zero. $\Rightarrow U_{f} = 0$

$W = - (dU) \Rightarrow W = [0 - (\frac{q^{2}}{16 {πε}_{0} R})] \Rightarrow W = \frac{- q^{2}}{16 {πε}_{0} R}$

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

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

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

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

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

Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!

A point charge 'q' is placed at the centre of an uncharged conducting shell of inner radius R and outer radius 2R. If the point charge is removed from the centre of the shell, to infinity (without any electric contact with the shell), work done by electric force is: