KVPY SA Exam 2013 Question Paper

Question : 18 of 80

Marks: +1, -0

A tall tank filled with water has an irregular shape as shown. The wall CD makes an angle of 45 with the horizontal; the wall AB is normal to the base BC. The lengths AB and CD are much smaller than the height h of water (figure not to scale).

Let

P_1, P_2

and

P_3

be the pressures exerted by the water on the wall AB, base BC and the wall CD respectively. Density of water is ρ and g is acceleration due to gravity. Then, approximately

$P_1=P_2=P_3$
$P_1=0,P_3=1/√2P_2$
$P_1=P_3=1/√2P_2$
$P_1=P_3=0,P_2=hρg$

Validate

Solution:

All are nearly at same height hence

P_1=P_2=P_3

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