Start Free Mock LoginAlready registered? Login here

Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceHard2 minQB

PhysicsHardmultiple choice

A solid non conducting sphere has two spherical cavities A and B of radius ' $r_{A}$ ' and ' $r_{B}$ ' respectively, as shown. Radius of sphere is 'R'. Select the correct statement(s) :-

Options:(select one or more)

Answer:

C, D

Solution:

Superpose: full sphere of density $ρ$ plus the two cavities as spheres of density $- ρ$ .

Inside cavity A the field gets a position-dependent contribution from cavity B, so it is not uniform - (A) wrong.

At the centre of A: $E = \frac{ρ}{3 ε _{0}} [O A + r_{B}^{3} \frac{A B}{( A B ) ^{3}}]$ - independent of $r_{A}$ - (B) wrong.

It depends on $r_{B}$ and on the distance AB - (C), (D).

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...