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 `rho` , and the acceleration due to gravity `g` . Then `m` is directly proportinal toA. `v^(3)`B. `v^(4)`C. `v^(5)`D. `v^(6)`

Assuming that the mass `m` of the largest stone that can be moved by a

1.	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 `rho` , and the acceleration due to gravity `g` . Then `m` is directly proportinal toA. `v^(3)`B. `v^(4)`C. `v^(5)`D. `v^(6)`
Answer» Correct Answer - D ` m prop v^(a) rho^(p) g^(c ) ML^(0) T^(0) prop (LT^(-1))^(a) (ML^(-3))^(b) (LT^(-2))^( c )` Comparing the powers of `M , L , and T` and solving , we get ` b = 1 , c = -3 , a = 6 rArr m prop v^(6)`

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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 `rho` , and the acceleration due to gravity `g` . Then `m` is directly proportinal toA. `v^(3)`B. `v^(4)`C. `v^(5)`D. `v^(6)`

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