Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Curl of electric field is zero. Reason R: Linear integral of electric field around a closed path is evidently zero. Choose the most appropriate answer from the options given below

• A. Both A and R are correct and R is the correct explanation of A.
• B. Both A and R are correct but R is NOT the correct explanation of A.
• C. A is correct but R is not correct.
• D. A is not correct but R is correct.

Hint:

Electrostatic field is conservative, so curl is zero.

Answer 1

The Correct Option is A

Concept:
Electrostatic field is conservative.
Step 1:
For electrostatic field: \[ \nabla\times\vec{E}=0 \] Thus Assertion A is correct.
Step 2:
Electrostatic work around closed loop is zero. \[ \oint \vec{E}\cdot d\vec{l}=0 \] Thus Reason R is correct.
Step 3:
Zero circulation implies conservative field and zero curl. Thus R explains A.
Step 4:
\[ \boxed{\text{Both A and R are correct and R explains A}} \] \[ \boxed{\text{Correct Option = (1)}} \]