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Physics Fluid Mechanics NTA Abhiyas Question MCQ (Single Correct)

A stream of water flowing horizontally with a speed of 15 ms -1 gushes out of a tube of cross-sectional area 10 -2 m 2 and hits a vertical wall nearby. The force exerted on the wall by the impact of water (assuming it does not rebound) is

A
2.25 x 10 3 N
B
2.5 x 10 3 N
C
3.0 x 10 3 N
D
3.5 x 10 3 N

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Text Solution

Verified by Experts
The correct answer is:
A

If the velocity of the stream be v (say). In 1 second , the distance travelled = v.

The volume of water hitting the wall per second, V = va

Where, a is the cross-sectional area

V = 15 m/s x 10 -2 m 2

[ Given, v = 15 m/s, a = 10 -2 m 2 ]

V = 15 x 10 -2 m 3 /s

Mass of water hitting the wall per second,

m = volume x Density

= 15 x 10 -2 x 10 3

=150 kg/s

[ Density of water = 1000 kg /m 3 ]

Initial momentum of the water hitting the wall per second = m x v

= 150 x 15

= 2250 kg m/s 2

= 2250N

Final momentum per second = 0

Force exerted on the wall = Change in the momentum of water stream per second

= 2250 N

= 2.25 x 10 3 N

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