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Q.

Pressure at the bottom of tank of water is 3P, where P is atmospheric pressure. If the water is drawn out till the level  of water is lowered by one-fifth, then the pressure at the bottom of the tank is:

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a

2P

b

13 P/5

c

8 P/5

d

4 P/5

answer is B.

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Detailed Solution

3P=P+hρwg   ⇒ hρwg=2P When the water is drawn out the pressure at bottom                             =P+h-h5ρwg=P+45hρwg                             =P+45(2P)=13P5
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Pressure at the bottom of tank of water is 3P, where P is atmospheric pressure. If the water is drawn out till the level  of water is lowered by one-fifth, then the pressure at the bottom of the tank is: