Q.

A cubical container with side 2 m has a small hole with a cap at point C as shown. The water level is upto point D. (BC=0.5 m and BD=1.5 m). If container is given an acceleration of 8m/s2 and the hole is opened simultaneously, find the amount of water that will spill out of the container (in litres).

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answer is 1200.

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Detailed Solution

tanθ=ag=45

RB=PQQBtanθ=22×45=0.4m

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Volume of water

 contained =PQ+BR2×4m2

Initial volume of water =BD×4m2

 Amount of spill =Vin Vfin 

=2(2BDPQBR)×1000 litres 

=2(320.4)×1000

=1200 litres 

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