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Q.

An ideal fluid is following through four tubes a, b, c, d of radii in the ratio 2 : 7 : 3 : 1 with velocities in the ratio 1 :2 : 5 : 15 when maintained at different pressures. The ascending order of the amount of fluid flowing through the tubes per second is

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a

a, d, c, b

b

b, c, d, a

c

c, d, b, a

answer is A.

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Detailed Solution

flow rate = Area x velocity.

Since is proportional to the square of radius,

The flow rates will be proportional to

$2^{2} \times 1, 7^{2} \times 2, 3^{2} \times 5, 1^{2} \times 15$ respectively.

which is 4, 98, 45, 15.

for the given values, the flow rates will be in the order of a,d,c,b

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An ideal fluid is following through four tubes a, b, c, d of radii in the ratio 2 : 7 : 3 : 1 with velocities in the ratio 1 :2 : 5 : 15 when maintained at different pressures. The ascending order of the amount of fluid flowing through the tubes per second is