AMU Engineering 2020 solved paper Solved Paper

Let the velocity of efflux at point 2 is v. Given, a=1cm2,A=0.5m2=0.5×104cm2
Applying continuity equation,
AV‌‌=av
V‌‌=‌

a

A

v
Since, a≪A,V≪v,V2 is negligible.
Pressure at 1 ,
p1‌‌=p0+‌

mg

A

‌‌=p0+‌

30×10

0.5

=p0+600
Pressure at (2),
p2=p0
where, p0 is atmospheric pressure. Applying Bernoulli's equation between (1) and (2),
p1+ρgh+‌

1

2

ρV2=p2+‌

1

2

ρv2
V2 is negligible, then
p0+600+1200×10×0.75
‌‌=p0+‌

1

2

×1200v2
600v2=9600⇒v2=16⇒v=4m∕s