Question

Given below are two statements:
Statement I: If ø (x, y), Ψ(x, y), \(\frac{\partial\phi}{\partial y}\) and \(\frac{\partial\psi}{\partial x}\) are continuous functions over region R bounded by simple closed curve C in xy-plane, then \(∮_C(\phi dx+\psi dy)=\int\int\limits_{R}(\frac{\partial\psi}{\partial x}-\frac{\partial\phi}{\partial y})dxdy\)
Statement II: \(\vec{F}\) be a vector point function and volume V enclosed by a closed surface, then volume integral \(=\int\int\limits_{V}\int\vec{F}.dV\)
In the light of the above statements, choose the most appropriate answer from the options given below

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but Statement II is incorrect
• D. Statement I is incorrect but Statement II is correct

Answer 1

The Correct Option is A

The correct option is(A):Both Statement I and Statement II are correct.