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Question: Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube...

Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is

A

3 m/s

B

6 m/s

C

12 m/s

D

8 m/s

Answer

12 m/s

Explanation

Solution

a1v1=a2v2a _ { 1 } v _ { 1 } = a _ { 2 } v _ { 2 }v2v1=a1a2=(r1r2)2\frac { v _ { 2 } } { v _ { 1 } } = \frac { a _ { 1 } } { a _ { 2 } } = \left( \frac { r _ { 1 } } { r _ { 2 } } \right) ^ { 2 }

v2=3×(2)2v _ { 2 } = 3 \times ( 2 ) ^ { 2 }= 12 m/s