Force applied by water jet from a pipe depends upon (i) velocity of water (ii) density of water (iii) cross-sectional area of pipe. How many times force will be increased if velocity of a water is increased 2 times?
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4
Sol. F ∝ v a ∝ ρ
b
∝ A c ⇒ F = k v
a ρ b A c k : dimensional constant.
By dimension analysis a = 2 ⇒ F ∝ v 2 .
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