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9-1.Fluid Mechanics
medium
A vessel contain a liquid has a constant acceleration $19.6 \,m / s ^2$ in horizontal direction. The free surface of water get sloped with horizontal at angle ..........
A
$\tan ^{-1}\left[\frac{1}{2}\right]$
B
$\sin ^{-1}\left[\frac{1}{\sqrt{3}}\right]$
C
$\tan ^{-1}[\sqrt{2}]$
D
$\sin ^{-1}\left[\frac{2}{\sqrt{5}}\right]$
Solution
(d)
$\tan \theta=\frac{a}{g}=\frac{19.6}{9.8}=2$
$\tan \theta=2$
$\Rightarrow \sin \theta=\frac{2}{\sqrt{5}} \Rightarrow \theta=\sin ^{-1}\left[\frac{2}{\sqrt{5}}\right]$
Standard 11
Physics
