Three different liquids fill three cylindrical tubes up to same height. If the relation between the density of the three liquids $d_{A} > d_{B} > d_{C}$ , then what is the relationship between pressure exerted at the bottom of the container? $P_{A}, P_{B} a n d P_{C}$ represent the pressure exerted at the bottom of the tube, respectively.

P_{A} > P_{B} > P_{C}

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P_{A} < P_{B} < P_{C}

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P_{A} = P_{B} = P_{C}

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P_{A} = P_{B} > P_{C}

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Solution

The correct option is A $P_{A} > P_{B} > P_{C}$
The pressure exerted by the liquid increases with increase in the density of the liquid. The volume of the liquid in all three tubes are equal, and only density is changing. The pressure exerted by the liquid is directly proportional to the density of the liquid, So $P_{A} > P_{B} > P_{C}$ because $d_{A} > d_{B} > d_{C}$ .

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