| Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason: |
| (R). Mark the correct choice as: |
| Assertion (A): 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 u(C) |
| Reason (R): Gauss's theorem in electrostatics may be applied to verify. |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false and Reason (R) is also false
Correct Answer: A
Solution :
(a) According to Gauss's theorem in electrostatics, \[\phi =\frac{q}{{{\varepsilon }_{0}}}\] \[q={{\varepsilon }_{0}}\phi =8.85\times {{10}^{-12}}\left( 8\times {{10}^{3}}-2\times {{10}^{3}} \right)\] \[=53.10\times {{10}^{-9}}C=0.053\mu C\]
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