1.

A conducting sphere of radius 5 cm has an unknown charge. The electric field at 10 cm from the centre of the sphere is `1.8xx10^(3)NC^(-1)` and points radially inward. What is the net charge on the sphere?A. `1.8nC`B. `2nC`C. `1nC`D. `1.5nC`

Answer» Correct Answer - B
For a conducting charged sphere, the electric field outside the sphere, `E=(1)/(4pi epsilon_(0))(Q)/(r^(2))`
`1.8xx10^(3)=9xx10^(9)xx(Q)/((0.1)^(2))`
The net charge on the sphere `Q=(1.8xx10^(3)xx10^(-2))/(9xx10^(9))`
`=2xx10^(-9)C=2nC`


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