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Question: An L-shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of th...

An L-shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of the tube is 10.6 cm above the surface of water. What will be the height of the jet of water coming from the orifice? Velocity of water stream is 2.45 m/s

A

Zero

B

20.0 cm

C

10.6 cm

D

40.0 cm

Answer

20.0 cm

Explanation

Solution

According to Bernoulli's theorem, h=v22gh = \frac{v^{2}}{2g}

h=(2.45)22×10=0.314=31.46mucm\Rightarrow h = \frac{(2.45)^{2}}{2 \times 10} = 0.314 = 31.4\mspace{6mu} cm

∴ Height of jet coming from orifice

= 31.410.6=20.86mucm31.4 - 10.6 = 20.8\mspace{6mu} cm