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Question

Question: Which of the following quantities is dimensionless...

Which of the following quantities is dimensionless

A

Gravitational constant

B

Planck's constant

C

Power of a convex lens

D

None

Answer

None

Explanation

Solution

[G]=[M1L3T2];[h]=[ML2T1]\lbrack G\rbrack = \lbrack M^{- 1}L^{3}T^{- 2}\rbrack;\lbrack h\rbrack = \lbrack ML^{2}T^{- 1}\rbrack

Power = 1focal length=[L1]\frac{1}{\text{focal length}} = \lbrack L^{- 1}\rbrack

All quantities have dimensions