A metal sphere of radius 10 cm is given a charge of `12muC`. The force acting on unit area of its surface is
A metal sphere of radius 10 cm is given a charge of `12muC`. The force acting on unit area of its surface is
A. `5.151xx10^(2)N//m^(2)`
B. `5.15xx10^(3)N//m^(2)`
C. `515xx10^(-2)N//m^(2)`
D. `5.15xx10^(-3)N//m^(2)`
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Correct Answer - A
`f=sigma^(2)/(2in_(0)k)=q^(2)/(2in_(0)kds^(2))`
`=q^(2)/(32in_(0)kpi^(2)R^(4))" "(thereforeds=4piR^(2))`
`=((12xx10^(-6))^(2))/(32xx8.85xx10^(-12)xx1xx9.87xx(10^(-1))^(4))`
`=5.151xx10^(2)N//m^(2)`
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