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, \[{{E}_{inside}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\,.\,\,\frac{qr}{{{R}^{3}}}\] 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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