| ASSERTION: The electric flux emanating out and entering a closed surface are \[8\times {{10}^{3}}\] and \[2\times {{10}^{3}}\,Vm\] respectively. The charge enclosed by the surface is \[0.053\,\mu C\]. |
| REASON: Gauss's theorem in electrostatics may be applied to verify. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: A
Solution :
According to Gauss's theorem in electrostatics. \[\phi =q/{{\varepsilon }_{0}}\] \[q={{\varepsilon }_{0}}\phi =8.85\times {{10}^{-12}}\left[ 8\times {{10}^{3}}-2\times {{10}^{3}} \right]\] \[=53.10\times {{10}^{-9}}C=0.053\,\mu C\] Dipole is a system of two equal and opposite point charges separated by a very small and finite distance.
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