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1)

A spherical metal shell A of radius RAand a solid metal sphere B of radius  RB<(RA) are kept far apart and each is given charge +Q. Now, they are connected by a thin metal wire. Then


A) EinsideA=0

B) QA > QB

C) σAσB=RBRA

D) EonsurfaceA &lt; EonsurfaceB

Answer:

Option A,B,C,D

Explanation:

Inside a conducting shell, electric field is always zero. Therefore, option (a) is correct. When the two are connected. their potentials become the same.

     VA=VB

 or QARA=QBRB   (V=14πϵ0.QR)

 Since, RA>RB 

   QA>QB

   option (b) is correct 

 Potential is also equal to 

 V=σRϵ0

 VA=VB

    σARA=σBRB

 or σAσB=RBRA

   Option (c) is correct

 Electric field on surface

 E=σE0 or  Eσ

 or σA<σB

 Since, σA<σB

    EA<EB

  Option (d) is also correct

  Correct options are (a),(b) ,(c) and (d) 

 Analysics of Question

 (i) Question is simple

 (ii)  E=14πϵ0QR2=σϵ0 ( on surface)

 As   σ= surface charge density

 = Q4πR2

 (iii)   V=14πϵ0QR=σRϵ0