Question

Given $\varphi =3xyand\psi =\frac{3}{2}(y^2-x^2)$, the discharge passing between the streamlines through the points (1,3) and (3,3)

• A. 2 units
• B. 4 units
• C. 8 units
• D. 12 units

Answer 1

The correct option is D 12 units

(d)

$dQ=|d\psi |=|{\psi }_2-{\psi }_1|$

$at(1,3){\psi }_1=\frac{3}{2}(3^2-1^2)=12units$

$at(3,3){\psi }_2=0units$
$\therefore$ dQ = 12 units