Water is flowing continuously from a tap having an internal diameter 8 x 10−3 m. The water velocity as it leaves the tap is 0.4 m s−1. The diameter of the water stream at a distance 2 x 10−1 m below the tap is close to
5.0 x 10−3 m
7.5 x 10−3 m
9.6 x 10−3 m
3.6 x 10−3 m
A
7.5 x 10−3 m
B
9.6 x 10−3 m
C
5.0 x 10−3 m
D
3.6 x 10−3 m
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Solution
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Given data,
d1=8×10−3m
v1=0.4ms−1
h=0.2m
According to equation of motion,
v2=√v21+2gh
=√(0.4)2+2×10×0.2
≈2ms−1
∴ According to equation of continuity
a1v1=a2v2
π×(8×10−32)2×0.4=π×(d22)2×2
d2=3.6×10−3m
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