A) \[{{V}_{1}}>{{V}_{2}}>{{V}_{3}}>{{V}_{4}}\]
B) \[{{V}_{3}}>{{V}_{4}}>{{V}_{2}}>{{V}_{1}}\]
C) \[{{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}\]
D) \[{{V}_{3}}={{V}_{1}}<{{V}_{2}}={{V}_{4}}\]
Correct Answer: B
Solution :
The hole in each beaker is made at the same height. Thus, at this level, water will exert an equal amount of pressure at each point on the beaker surface. The pressure exerted by a liquid increases with the height of the water column. Thus, more the water in the beaker, the greater will be the pressure it exerts and vice-versa. As the distance up to which the water jets falls is related as\[{{d}_{1}}<{{d}_{2}}<{{d}_{4}}<{{d}_{3}},\]the amount of water filled in the beakers can be related as \[{{V}_{3}}>{{V}_{4}}>{{V}_{2}}>{{V}_{1}}.\] The correct answer is B.You need to login to perform this action.
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