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Assuming that the mass rn of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density ρ, and the acceleration due to gravity g. Then m is directly proportional to

a
v3
b
v4
c
v5
d
v6

detailed solution

Correct option is D

m∝vaρpgcML0T0∝LT−1aML−3bLT−2cML0T0∝MbLa-3b+cT−a-2cb=1----(1)a-3b+c=0---(2)-a-2c=0---(3)on solving we get b=1,c=−3,a=6⇒m∝v6

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