Electrostatics Question 402

Question: Two metal spheres of radii $ R _{1} $ and $ R _{2} $ are charged to the same potential. The ratio of charges on the spheres is [KCET 1999]

Options:

A) $ \sqrt{R _{1}}\ :\ \sqrt{R _{2}} $

B) $ R _{1}\ :\ R _{2} $

C) $ R _{1}^{2}\ :\ R _{2}^{2} $

D) $ R _{1}^{3}:\ R _{2}^{3} $

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Answer:

Correct Answer: B

Solution:

Spheres have same potential i.e. $ k\frac{Q _{1}}{R _{1}}=k\frac{Q _{2}}{R _{2}} $

therefore $ \frac{Q _{1}}{Q _{2}}=\frac{R _{1}}{R _{2}} $



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