P is the atmospheric pressure and the pressure at the bottom of a tank of water is 3P . If the water is drawn out to lower the level of water by one fifth, then the pressure at the bottom of the tank will be

Question

P is the atmospheric pressure and the pressure at the bottom of a tank of water is 3P . If the water is drawn out to lower the level of water by one fifth, then the pressure at the bottom of the tank will be (A) 2P (B) (.13/5.)P (C) (.8/5.)P (D) (.4/5.)P

Tardigrade Admin · Accepted Answer

3P=P+ρ gh p'=P+ρ g(h - (h/5))=P+(4/5)ρ gh=P+(4/5)2P=(13/5)P

Q. $P$ is the atmospheric pressure and the pressure at the bottom of a tank of water is $3 P$ . If the water is drawn out to lower the level of water by one fifth, then the pressure at the bottom of the tank will be

$2 P$

$(13/5) P$

$(8/5) P$

$(4/5) P$

$3 P = P + ρ g h$
$p^{^{'}} = P + ρ g (h - \frac{h}{5}) = P + \frac{4}{5} ρ g h = P + \frac{4}{5} 2 P = \frac{13}{5} P$

Q. P is the atmospheric pressure and the pressure at the bottom of a tank of water is 3P . If the water is drawn out to lower the level of water by one fifth, then the pressure at the bottom of the tank will be

2P

(13/5)P

(8/5)P

(4/5)P