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8th Class Science Force and Pressure Question Bank Force and Pressure Formative Objective Problems

  • question_answer
    Utpal takes four identical beakers (I, II, III, and IV) and makes a small hole in each of them at the same height from the base. He then fills water in. all the beakers. The water comes out from the holes and falls at distances \[{{d}_{1}},{{d}_{2}},{{d}_{3}}\]and \[{{d}_{4}}\] respectively   from   the   base, where \[{{d}_{1}}<{{d}_{2}}<{{d}_{4}}<{{d}_{3}}\] The amount of water (V) filled in each beaker is related as

    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.


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