64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance of the large sphere is:
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Correct option is C)
64 drops have formed a single drop of radius R. Volume of big drop = Volume of small's drops. ∴34πR3=64×34πr3 ⇒R=4r So, the total current is Qtotal=64q As C′=VQandV=4πε01RQ;C′=4πε0R C′=(4πε0)4r⇒C′=4c.
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