On a smooth inclined plane (with angle of inclination \( \alpha=37^{\circ} \), a vessel containi...
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On a smooth inclined plane (with angle of inclination \( \alpha=37^{\circ} \), a vessel containing liquid is being pushed upwards with an acceleration \( 5 \mathrm{~ms}^{-2} \). If \( g=10 \mathrm{~ms}^{-2} \), then angle \( (\theta) \) that the liquid surface makes with the horizontal is (Given, \( \sin 37^{\circ}=\frac{3}{5} \) )
(a) \( 37^{\circ} \)
(b) \( 53^{\circ} \)
(c) \( \tan ^{-1}\left(\frac{4}{13}\right) \)
(d) \( \tan ^{-1}\left(\frac{5}{13}\right) \)
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