esrever
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#1
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#1
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uberteknik
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(Original post by esrever)
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What do you have difficulty with understanding?

For a static fluid the pressure at any given depth (irrespective of the container shape) in the liquid is given by:

P = h\rho g

The expression for the ratio of pressures is already given in the question and we know that gravity and height are the same in both cases. The only difference is the liquid density in which liquid P is double that of liquid Q.

Simply by inspection the correct answer is therefore A.

Alternately:

g is a constant

h_P = h_Q

\rho_{p} = 2\rho_{q}

Both g and h cancel leaving the substitution for relative density:

ratio = \frac{\rho_{p}}{\rho_{q}} = \frac{2\rho_{q}}{\rho_{q}} = \frac{2}{1}

Correct answer is A.
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esrever
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#3
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#3
(Original post by uberteknik)
What do you have difficulty with understanding?

For a static fluid the pressure at any given depth (irrespective of the container shape) in the liquid is given by:

P = h\rho g

The expression for the ratio of pressures is already given in the question and we know that gravity and height are the same in both cases. The only difference is the liquid density in which liquid P is double that of liquid Q.

Simply by inspection the correct answer is therefore A.
I wasn't aware that the pressure is same irrespective of the shape of the container. Thank you .
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