Electrostatics Question 9
Question: Two insulated charged spheres of radii $ 20cm $ and $ 25cm $ respectively and having an equal charge $ Q $ are connected by a copper wire, then they are separated [NCERT 1971]
Options:
A) Both the spheres will have the same charge $ Q $
B) Charge on the $ 20\ cm $ sphere will be greater than that on the $ 25\ cm $ sphere
C) Charge on the $ 25\ cm $ sphere will be greater than that on the $ 20\ cm $ sphere
D) Charge on each of the sphere will be $ 2Q $
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Answer:
Correct Answer: C
Solution:
After the connection of wire $ V _{1}=V _{2} $
$ \frac{Q _{1}}{25}=\frac{Q _{2}}{20} $
therefore $ \frac{Q _{1}}{Q _{2}}=\frac{25}{20} $
therefore $ Q _{1}>Q _{2} $