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Q.

Water from a tap emerges vertically downwards with an initial speed of 1.0 m/s. The cross-sectional area of the tap is 10-4  m2. Assume that the pressure is constant throughout the stream of water and that the flow is steady, the cross-sectional area of the stream 0.15 m below the tap is

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a

5⋅0×10−4m2

b

1⋅0×10−5m2

c

5⋅0×10−5m2

d

2⋅0×10−5m2

answer is C.

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Detailed Solution

Hero A1v1=A1v2Further, v22=v12+2gh=1+2×10×0⋅15or v2=2m/sNow 10−4×1=A2×2∴ A2=12×10−4=5×10−5m2
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Water from a tap emerges vertically downwards with an initial speed of 1.0 m/s. The cross-sectional area of the tap is 10-4  m2. Assume that the pressure is constant throughout the stream of water and that the flow is steady, the cross-sectional area of the stream 0.15 m below the tap is