Assuming that the mass m 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
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a
v3
b
v4
c
v5
d
v6
answer is D.
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Detailed Solution
m∝vaρpgc ML0T0∝LT−1aML−3bLT−2cComparing the powers of M, L, and T and solving, we getb=1,c=−3,a=6⇒m∝v6