KVPY SX SB Exam 2012 Question Paper

Question : 95 of 120

Marks: +1, -0

Consider three concentric metallic spheres A, B and C of radii a, b, c respectively where a < b < c. A and B are connected whereas C is grounded. The potential of the middle sphere B is raised to V then tire charge on the sphere C is

$-4πε_0V{bc}/{c-b}$
$+4πε_0V{bc}/{c-b}$
$-4πε_0V{ac}/{c-a}$
zero

Validate

Solution:

\V_\B=\kq/\b+{\k(-\q)}/\c=\V

(Given)

\q={4\πε_0 .\bc}/{c-b}.\V

Charge on C = –q

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