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Q.

The diagram shows venturimeter through which water is flowing. The speed of water at X is 2 cm/s. Find the speed of water at Y in cm/s. (taking g=1000 cm/s2).

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answer is 32.

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Detailed Solution

Applying Bernoulli equation,

P1+12ρv12=P1+12ρv22

⇒12ρv22−v12=P1−P2=hgρ

⇒v22=v12+2gh

⇒v2=v12+2gh=22+2×1000×0.51=1024=32 cm/s

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