Electrostatics Question 90
Question: The radius of a metallic sphere if its capacitance is $ 1/9F $ , is [KCET 1999; Pb. PET 2001]
Options:
A) $ 10^{6}m $
B) $ 10^{7}m $
C) $ 10^{9}m $
D) $ 10^{8}m $
Show Answer
Answer:
Correct Answer: C
Solution:
$ C=4\pi {\varepsilon _{0}}R $ , $ R=\frac{C}{4\pi {\varepsilon _{0}}} $
therefore $ R=(1/9)\times 9\times 10^{9}=10^{9}m $