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} $
Show Answer
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}} $
