In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$ -direction is given by $v_{x}=x^{2}$ and the density varies as $\rho=\frac{1}{x} .$ Which of the following is a valid expression for the velocity component in the $y$ -direction, $v_{y} ?$
(A) $v_{y}=-x / y$
(B) $v_{y}=x / y$
(C) $v_{y}=-x y$
(D) $v_{y}=x y$

Question ID - 156102 :-

In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$ -direction is given by $v_{x}=x^{2}$ and the density varies as $\rho=\frac{1}{x} .$ Which of the following is a valid expression for the velocity component in the $y$ -direction, $v_{y} ?$
(A) $v_{y}=-x / y$
(B) $v_{y}=x / y$
(C) $v_{y}=-x y$
(D) $v_{y}=x y$

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