Home Physics Fluid Mechanics Bernoulli's Theorem and Equation Water from a tap emerges vertically downward…
Physics Fluid Mechanics Bernoulli's Theorem and Equation MCQ (Single Correct)

Water from a tap emerges vertically downwards with an initial speed of 1.0 m/s. The cross-sectional area of tap is 10 –4 m 2 . Assume that the pressure is constant throughout and that the flow is steady, the cross-sectional area of stream 0.15 m below the tap is:

A
5.0 × 10 –4 m 2
B
1.0 × 10 –4 m 2
C
5.0 × 10 –5 m 2
D
2.0 × 10 –5 m 2

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Text Solution

Verified by Experts
The correct answer is:
C

From conservation of energy

= + 2gh … (1)

[can also be found by applying Bernouilli’s theorem between

1 and 2]

From continuity equation A 1 v 1 = A 2 v 2

v 2 = v 1 … (2)

Substituting value of v 2 from Eq. (2) in Eq. (1)

. = + 2gh

or =

∴ A 2 =

Substituting the given values

A 2 =

A 2 = 5.0 × 10 –5 m 2

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