Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The given vector $\vec{F}=(y^2-z^2+3yz-2x)\hat{i} +(3xz+2xy)\hat{j}+(3xy-2xz+2z)\hat{k}$ is solenoidal
Reason R: A vector $\vec{F}$ is said to be solenoidal if div $\vec{F}$ = 0
In the light of the above statements, choose the correct 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 but R is true

Answer 1

Answer: (A)

Both A and R are true and R is the correct explanation of A

Answer 2

The correct option is(A):Both A and R are true and R is the correct explanation of A.