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UPSC Civil Service Exam Questions - Engineering

Q1:

A jet of water issues from a 5 cm diameter nozzle, held vertically upwards, at a velocity of 20 m/sec. If air resistance consumers 10% of the initial energy of the jet, then it would reach a height, above the nozzle, of

A 18.35 m

B 19.14 m

C 19.92 m

D 20.00 m

ANS:A - 18.35 m

vf^2 = vi^2 - 2as
0 = (20)^2 - 2( 9.81)(s)
s= 20.3874 m.

If air resistance consumers 10% of the initial energy of the jet
s = [20.3874] - [20.3874*(10%)]
s = 18.3487 m.Ans. [A]