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A tall tank filled with water has an irr...

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 `rho` and g is acceleration due to gravity. Then, approximately

A

`P_1 = P_2 = P_3`

B

`P_1 = 0 , P_3 = 1/sqrt2 P_2`

C

`P_1 = P_3 = 1/sqrt2 P_2`

D

`P_1 = P_3 = 0 , P_2 = hrho g`

Text Solution

Verified by Experts

The correct Answer is:
A
All are nearly at same height hence `P_1 = P_2 = P_3`
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