The ratio of the rate of flow of water in pipes varies inversely as the square of the radii of the pipes. What is the ratio of the rates of flow in two pipes of diameters 3 cm and 6 cm, respectively?
Explanation:
Radii of the two pipes are 3/2 cm and 6 cm.
Square of the radii of the pipes are 9/4 and 36/4.
Given, flow of water in pipes ∝ 1/(radius)2
∴ Required ratio of rates of flow in the two pipes = 19/4 : 136/4 = 19 : 136 = 4 : 1
Hence, option (d).
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