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# spherical metal shell A of radius Ra and solid metal sphere B of radius Rb are given charge +Q and are then connected by a thin metallic wire.Which of the following are true?A.Qa>QbB.EAc.SIGMA A/SIGMA B =Rb/Rasigma is surface charge densityRa>Rb

Khimraj
3007 Points
3 years ago
Both sphere are connected by thin metallic wire. So there surface will be at same potential . then
KQa/Ra =KQb/Rb
then Qa/Ra =Qb/Rb
(Qa/4πRa2)4πRa = (Qb/4πRb2)4πRb
Then  ($\sigma$a)Ra = ($\sigma$b)Rb
So $\sigma$a/$\sigma$b = Rb/Ra.