GATE 2020 PI – Question 11
Find the divergence of $\mathbf v=y^2\mathbf i+z^2\mathbf j+x^2\mathbf k$.
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: (D) 0
Explanation
Divergence differentiates each component with respect to its matching coordinate: ∂(y²)/∂x+∂(z²)/∂y+∂(x²)/∂z. Each derivative is zero. Thus the divergence is0, D, even though the vector field varies spatially.