Electrostatics Question 153
Question: Two metallic spheres of radii $ 1cm $ and $ 2cm $ are given charges $ {{10}^{-2}}C $ and $ 5\times {{10}^{-2}}C $ respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is [CBSE PMT 1995]
Options:
A) $ 3\times {{10}^{-2}}C $
B) $ 1\times {{10}^{-2}}C $
C) $ 4\times {{10}^{-2}}C $
D) $ 2\times {{10}^{-2}}C $
Show Answer
Answer:
Correct Answer: D
Solution:
$ Q _{1}={{10}^{-2}}C $ , $ Q _{2}=5\times {{10}^{-2}}C $
Total charge of the system Q = 6x10-6 C Charge on small sphere $ Q{’ _{1}}=\frac{Qr _{1}}{r _{1}+r _{2}}=\frac{6\times {{10}^{-2}}\times 1}{1+2}=2\times {{10}^{-2}}C $
