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A stream of water flowing horizontally with a speed of 15 ms^-1 gushes out of a tube of cross-sectional area 1 cm², strikes against a vertical wall, and flows down without any re-bound. The wall can withstand a maximum force of 2000 N on it. The impact of the water stream on the wall will

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will exert a pressure of 2.250 $\times$ 10⁵ pascal on the wall.

not damage it as the maximum force on it due to the water stream is only about 1500N.

will exert a force of 2250 N on it.

will break it.

answer is B, C, D.

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Detailed Solution

The rate of change of momentum of water stream $= a v^{2} ρ - 0 = a v^{2} ρ .$ This is the force F exerted by the water stream on the wall.

$∴ F = a v^{2} ρ = (1 \times 10^{- 2}) \times {(15)}^{2} \times 1000 = 2250 N$

The pressure on the wall is

$P = \frac{F}{a} = \frac{2250}{1 \times 10^{- 2}} = 2.25 \times 10^{5}$ pascal

Hence , the correct choices are (b) (c) and (d)

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