AI Mentor

Check Your IQ

Free Expert Demo

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

Offline Centres

At distance of 5cm and 10cm outwards from the surface of a uniformly changed non conducting solid sphere, the potentials are 100V and 75V respectively. Then

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

The electric potential at its centre is 225 V

The potential at the surface of the sphere is 150V

The electric field on the surface of the sphere is 1500 V/m

The charge on the sphere is $\frac{5}{3} \times 10^{- 9} C$

answer is A, B, C, D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let 'r' be the radius of the surface of sphere.

$\frac{k q}{r + 5} = 100$

$\frac{k q}{r + 10} = 75$

$\Rightarrow r = 10 c m, k q = 15$

$\Rightarrow q \times 9 \times 10^{9} = 15 \Rightarrow q = \frac{5}{3} \times 10^{- 9} C$

$E_{s} = \frac{q}{4 π ε_{0} \times {(0.1)}^{2}} = \frac{5}{3} \times 10^{- 9} \times 9 \times 10^{9} \times 10^{2} = 1500 V / m$

$V_{s} = \frac{k q}{r} = 150 V$

$V_{c} = \frac{3}{2} V_{s} = \frac{3}{2} \times 150 = 225 V$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!