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A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of -3Q, the new potential difference between the same two surfaces is :

(a)

(b)

(c)

(d)

- 2V

Chemistry

Fill in the blanks :
A solution of sodium in liquid ammonia at -33^oC conducts electricity . On cooling, the conductivity of this solution.............

Mathematics

Let OA CB be a parallelogram with O at the origin and OC a diagonal. Let D be the midpoint of OA. Using vector methods prove that BD and CO intersect in the same ratio. Determine this ratio.

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