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9.1 , fluid mechanics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid mechanics1 Mark
MCQ
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
    $\tan ^{-1}[\sqrt{2}]$
  • ✓
    $\sin ^{-1}\left[\frac{2}{\sqrt{5}}\right]$
✓

Answer

Correct option: D.
$\sin ^{-1}\left[\frac{2}{\sqrt{5}}\right]$
d
(d)

$\tan \theta=\frac{a}{g}=\frac{19.6}{9.8}=2$

$\tan \theta=2$

$\Rightarrow \sin \theta=\frac{2}{\sqrt{5}} \Rightarrow \theta=\sin ^{-1}\left[\frac{2}{\sqrt{5}}\right]$

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