Question

For a given vector $\vec{F}=-y\hat{i}+z\hat{j}+x^2\hat{k}$ , the surface integral $\int_S(\vec{▽}\times \vec{F}).\hat{r}dS$ over the surface S of a hemisphere of radius R with the centre of the base at the origin is

• A. πR2
• B. $\frac{2\pi R^2}{3}$
• C. -πR2
• D. $-\frac{2\pi R^2}{3}$

Answer 1

Answer: (A)

πR2

Answer 2

The correct option is (A) : πR2.