Question

Assertion$\left(A\right)$: Four point charges $q_1,q_2,q_3$ and $q_4$ are as shown in figure. The flux over the shown gaussian surface depends only on charges $q_1$ and $q_2$

Reason$\left(R\right)$: Electric field at all points on gaussian surface is depends only on charges $q_1$ and $q_2$


Select the most appropriate answer from the options given below

• A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
• B. Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
• C. $A$ is true but $R$ is false
• D. $A$ is false and $R$ is also false

Answer 1

The correct option is C $A$ is true but $R$ is false

According to Gauss's theorem,

For any closed surface, the net flux of the electric field passing through that surface is proportional to the total charge enclosed in it.

Therefore, assertion is true.

Electric field at any point on the gaussian surface is depends on all the charges in the vicinity of the gaussian suface. Thus, reason is false.

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.