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for the seconf one,
electric current will not flow only when the potentials are same, so the assertion is wrong
and the reasoning statement " current isthe rate of flow of charges" is absolutely correct ( you made a typo there).
so answer is definitely d
same way,
when there is a charge q at the centre of the sphere, the E at the metallic shell will not be zero
E = -dv/dx and potential changes here wrt to distance
and the reasoning statement is once again a fact, so answer is d
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