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If the fluid velocity for a potential flow is given by V(x, y) = u(x, y)i + v(x, y)j with usual notations, then the slope of the potential line at (x, y) is
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v u -
- u² v -
- v u² -
u v
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Correct Option: B
Here V(x, y) = u(x, y) i + v(x, y) j
| As we know that u = | δx |
| ∴ | = -v(x,y) ....(i) | δx |
| Similarly v = | δy |
| ∴ | = -v(x,y) ....(ii) | δy |
From equations (i) and (ii) we get,
