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GATE Mechanical 2024 | Question: 6

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​​​​The velocity field of a two-dimensional, incompressible flow is given by
\[
\vec{V}=2 \sinh x \hat{\imath}+v(x, y) \hat{\jmath}
\]
where $\hat{\imath}$ and $\hat{\jmath}$ denote the unit vectors in $x$ and $y$ directions, respectively. If $v(x, 0)=\cosh x$, then $v(0,-1)$ is

  1. $1$
  2. $2$
  3. $3$
  4. $4$
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