wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Water enters a house through a pipe 2 cm inside diameter at an absolute pressure 4×105 Pa (about 4 atmospheres). The pipe leading to second floor bathroom 5 m above is 1 cm in diameter. The flow velocity at the inlet pipe is 4 m/s. The pressure in the bathroom.

A
2×105 Pa
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2.3×105 Pa
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3×105 Pa
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3.3×105 Pa
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2.3×105 Pa
The flow velocity is obtained from the continuity equation

v2=A1A2.v1=π(1.0)2π(0.5)2(4)=16 m/s

The pressure is obtained from Bernoulli's equation

p2=p112ρ(v22v21)ρg (y2y1)

p2=4×10512×1×103 (25616)1×103×9.8×5=2.3×105 Pa

(b)

flag
Suggest Corrections
thumbs-up
11
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Tension
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon