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For the equation F =A^av^bd^c where F is force, A is area, v is velocity and d is density, with the dimensional analysis gives the following values for the exponents.

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a =2, b =1, c= 1

a=1, b = 2, c =1

a =1, b =1, c= 2

a = 0, b =1 , c = 1

answer is A.

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Detailed Solution

$F = A^{a} v^{b} d^{c}; {MLT}^{- 2} = {(L^{2})}^{a} {({LT}^{- 1})}^{b} {({ML}^{- 3})}^{c}$
comparing the powers on both sides

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