Momentum and CollisionHard

Question

Water is flowing continuously from a tap having an internal diameter 8 × 10-3m. The water velocity as it leaves the tap is 0.4 ms-1 . The diameter of the water stream at a distance 2 × 10-1 m below the lap isclose to :

Options

A.7.5 × 10-3m
B.9.6 × 10-3m
C.3.6 × 10-3m
D.5.6 × 10-3m

Solution

Equation of continuity
⇒ (a × v)top = (a × v)bottom
vb2 - (0.4)2 = 2 × 9.8 × 0.2    [v2 - u2 = 2g is used]
vb = 2 m/s (nearly)
π [8 ×10-3] × 0.4 = π d2 × 4
d 3.6 × 10-3 m

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