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
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
Updated On: Oct 1, 2024
- πR2
- \(\frac{2\pi R^2}{3}\)
- -πR2
- \(-\frac{2\pi R^2}{3}\)
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The Correct Option is A
Solution and Explanation
The correct option is (A) : πR2.
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