A point charge $+ 12 μ C$ is placed at the centre of a thin charged metallic shell of radius 10 cm. It charge on the shell is $- 2 μ C$ , intensity of electric field at a distance 30 cm from the centre of the shell 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

$10^{4} N / C$

$10^{3} N / C$

$10^{5} N / C$

$10^{6} N / C$

answer is 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

Consider a spherical Gaussian surface of radius 30 cm with its centre at the location of $+ 9 μ c$ charge

$∴ Q_{n e t} = (12 - 2) μ C = 10 μ C$

By Gauss's law, $Q_{n e t} = \in_{0} . ϕ_{E} \Rightarrow Q_{n e t} = \in_{0} . E .4 π r^{2}$

$∴ E = \frac{1}{4 π \in_{0}} \frac{Q_{n e t}}{r^{2}} = 9 \times 10^{9} \times 10 \times 10^{- 6} / {(0.3)}^{2} \frac{N}{C} = 10^{6} \frac{N}{C}$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE