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Q.

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
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