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  • Civil Engg. (GATE) 2007
  • A velocity vector is given as $\bar{V} = 5 xy \bar{i} + 2...
Multiple choice

A velocity vector is given as $\bar{V} = 5 xy \bar{i} + 2y^2 \bar{j} + 3yz^2 \bar{k}$ The divergence of this velocity vector at (1, 1, 1) is

  1. 9

  2. 10

  3. 14

  4. 15

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The divergence of V = (5xy)i + (2y^2)j + (3yz^2)k is d/dx(5xy) + d/dy(2y^2) + d/dz(3yz^2) = 5y + 4y + 6yz. At (1, 1, 1), this is 5(1) + 4(1) + 6(1)(1) = 5 + 4 + 6 = 15.

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