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A uniformly charged conducting sphere of...

A uniformly charged conducting sphere of 4.4 m diameter has a surface change density of `60muCm^(-2)`. The charge on the sphere is

A

`7.3xx10^(-3)C`

B

`3.7xx10^(-6)C`

C

`7.3xx10^(-6)C`

D

`3.7xx10^(-3)C`

Text Solution

Verified by Experts

The correct Answer is:
D
Here D = 2r = 4.4 m,
or r = 2.2 m, `sigma=60muCm^(-2)`
Charge on the sphere, `q=sigmaxx4pir^(2)`
`=60xx10^(-6)xx4xx22/7xx(2.2)^(2)=3.7xx10^(-3)C`
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