ElectrostaticsHard
Question
The radius and surface tension of a spherical soap bubble be r and T respectively. Find the charge uniformly distributed over the outer surface of the bubble, is required to double its radius. (Given that atmospheric pressure is P0 and inside temperature of the bubble during expansion remains constant.)
Options
A.8πr[ε0r(7P0r + 12T)]1/2
B.4πr[ε0r(7P0r + 12T)]1/2
C.πr[ε0r(7P0r + 12T)]1/2
D.8πr[ε0r(7P0r + 12T)]1/3
Solution
Before charging the bubble pressure inside the bubble P1 = P0 + 4T/r
After charging electrostatic pressure will be
Which will pull the bubble outward.
When radius becomes 2r then
, where σ = 
After charging electrostatic pressure will be
Which will pull the bubble outward.
When radius becomes 2r then
, where σ = Create a free account to view solution
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