A) \[2\times {{10}^{6}}\,N/C\]
B) \[2\times {{10}^{8}}\,N/C\]
C) \[5\times {{10}^{6}}\,N/C\]
D) \[5\times {{10}^{8}}\,N/C\]
Correct Answer: A
Solution :
The point 10 cm from centre of sphere will be inside the sphere. Hence, \[{{E}_{inside}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{qr}{{{R}^{3}}}\]e Here, \[q=500\times {{10}^{-6}}C,\,r=10\,cm\,=0.1\,m\] \[R=60\,cm=0.60\,m\] \[\therefore \] \[{{E}_{inside}}=(9.0\times {{10}^{9}})\times \frac{500\times {{10}^{-6}}\times 0.1}{{{(0.60)}^{3}}}\] \[=2\times {{10}^{6}}\,N/C\]
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