An open tank 10 m long and 2 m deep is filled up to 1.5 m height of oil of specific gravity 0.82. The tank is uniformly accelerated along its length from rest to a speed of 20 m/s horizontally. The shortest time in which the speed may be attained without spilling any oil is

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20 s

18 s

10 s

5 s

answer is A.

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Detailed Solution

v=u+axt, ax=v/ttan⁡θ=axg=vtg=0.55 (in triangle ABC)⇒ t=10×2010=20s

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