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Question
A hollow sphere of radius R has a point charge Q at its centre. Electric flux emanating from it is `phi`. If both the charge and the radius of the sphere are doubled, electric flux emanating from the sphere will ______.
Options
remain the same
become `2phi`
become `4phi`
become `8phi`
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Solution
A hollow sphere of radius R has a point charge Q at its centre. Electric flux emanating from it is `phi`. If both the charge and the radius of the sphere are doubled, electric flux emanating from the sphere will `bbunderline(become 2phi)`.
Explanation:
Since total electric flux passing through the spherical surface due to point charge Q at centre is
`phi = "q"/epsilon_0` where q = charge
If q' = 2q then
`phi"'" = "2q"/epsilon_0 = 2phi`
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