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Q.

For the equation F =Aavbdc 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

a =2, b =1, c= 1

b

a=1, b = 2, c =1

c

a =1, b =1, c= 2

d

a = 0, b =1 , c = 1

answer is A.

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Detailed Solution

F=Aavbdc; MLT−2=L2aLT−1bML−3c
comparing the powers on both sides

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