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Question

Pressure at a certain depth in river water is p1 and at the same depth in sea water is p2. Then (Density of sea water is greater than that of river water):

A
p1=p2
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B
p1>p2
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C
p1<p2
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D
p1p2= atmospheric pressure
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Solution

The correct option is C p1<p2
The expression of the pressure at a point in fluid is given by P=hρg
where h= depth of the point from the surface, ρ= be the density of the fluid and g= acceleration due to gravity.
Here, h and g are constant in both cases so p1=hρrg and p2=hρsg
or p1p2=ρrρs
As ρs>ρr so p1p2<1 or p1<p2

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