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Electrostatics question

2011 · Shift 1 · Q57
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Electrostatics question

2011 · Shift 1 · Q57

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −1
A spherical metal shell A of radius RA{R_A}RA​ and a solid metal sphere BBB of radius RB(<RA){R_B}\left( { \lt {R_A}} \right)RB​(<RA​) are kept far apart and each is given charge ′+Q′.' + Q'.′+Q′. Now they are connected by a thin metal wire. Then
  1. A
    EAinside=0E_A^{inside} = 0EAinside​=0
  2. B
    QA>QB{Q_A} \gt {Q_B}QA​>QB​
  3. C
    σAσB=RBRA{{{\sigma _A}} \over {{\sigma _B}}} = {{{R_B}} \over {{R_A}}}σB​σA​​=RA​RB​​
  4. D
    EAon  surface< EBon  surfaceE_A^{on\,\,surface} \lt \,E_B^{on\,\,surface}EAonsurface​<EBonsurface​
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