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Q.

A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).
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a

10 kg

b

2 kg

c

1.414 kg

d

1 kg

answer is A.

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Detailed Solution

Force by liquid = Mg
⇒ρ(AV)V=Mg
But AV= av = 1 x 10-3 m3/sec and
 

\large V = \sqrt {(20)2 - 2 \times 10 \times 15} = 10m/s\

M=1 kg

 

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