Question 5.C-A.69: A cylinder of height one metre is filled with water and is p...

Pearson IIT Foundation Series Physics Class 10

A cylinder of height one metre is filled with water and is provided with light, frictionless piston. The radius of the piston is 40 cm. A W weight of 10 $kg_{wt}$ is placed over the piston

If a small hole is made at the level of the centre of gravity, then what is the pressure of the water that rushes out? (g = 10 m $s^{–2}$ )

c5 69

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The height of the water level from the hole = 50 cm

The pressure at the hole, only due to water level is hdg

hdg =0.5 m \times 10^{3} kg m ^{-3} \times 10

P_{1}=5 \times 10^{3} Pa

The pressure exerted due to 10 kgwt is $P_{2}$

P_{2}=\frac{\text { Weight }}{\text { area of cross section }}

P_{2}=\frac{10 \times 10 N}{\frac{22}{7} \times 0.4 \times 0.4 m ^{2}}

P_{2}=\frac{100 \times 7}{22 \times 0.16}=198.8 Pa

The pressure with which water rushes out $= P_{1} + P_{2} = 5000 + 198.8 = 5,198 Pa$

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