Which one of the following is a dimensionless quantity?

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Editor">Editor Staff asked 1 year ago

Which one of the following is a dimensionless quantity?
 
(a) Mass
 
(b) Weight
 
(c) Specific weight
 
(d) Reynold’s number
 
The question was asked in an international level competition.
 
Origin of the question is Dimensional Analysis and its Applications topic in portion Units and Measurements of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

The correct option is (d) Reynold’s number
 
For explanation: Reynold’s number is a dimensionless quantity. Its formula is Re = ρvD/μ. On solving the associated dimensional equation, it will turn out that, Reynold’s number is dimensionless.

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