Q. 184.5( 19 Votes )

# Test if the follo

Answer :

A.

Dimensions of h = [L]

Dimensions of S = [MT^{-2}]

Dimensions of ρ = [ML^{-3}]

Dimensions of r = [L]

Dimensions of g = [LT^{-2}]

Checking the R.H.S

Dimensionally

=

= [M^{0}L^{1}T^{0}]

A. is dimensionally correct

B.

Dimensions of v = [LT^{-1}]

Dimensions of P = [ML^{-1}T^{-2}]

Dimensions of ρ = [ML^{-3}]

Checking the R.H.S

Dimensionally

=

B. is dimensionally correct

C.

Dimensions of V = [L^{3}]

Dimensions of P = [ML^{-1}T^{-2}]

Dimensions of r^{4} = [L^{4}]

Dimensions of t = [T]

Dimensions of l = [L]

Dimensions of η = [ML^{-1}T^{-1}]

Checking the R.H.S

Dimensionally

= =[L^{3}]

C. is dimensionally correct

D.

Dimensions of v = [T^{-1}]

Dimensions of m = [M]

Dimensions of g = [LT^{-2}]

Dimensions of l = [L]

Dimensions of I = [ML^{2}]

Checking the R.H.S

Dimensionally

=

D. is dimensionally correct

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