question_answer

In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross section of the tube at A and B is \[6m{{m}^{2}}\]and \[10m{{m}^{2}}\]10 mm2 respectively. The rate at which water flows through the tube is \[(g=10\,m{{s}^{-2}})\] [JEE ONLINE 19-04-2014]

A)  7.5 cc/s           

B)  8.0 cc/s

C)  10.0 cc/s          

D)       12.5 cc/s

Correct Answer: A

Solution :

According to Bernoulli’s theorem,

(1)

According to the equation of continuity

...(2)

From equation (2), or,

Putting this value of in equation (1)

Solving we get

Therefore the rate at which water flows through the tube