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Which of the following is a dimensional constant?

Asked in CBSE AIPMT 1995 · Dimensional and dimensionless quantities

Answer: (2) gravitational constant

Step-by-step solution

Idea: a dimensional constant has a fixed numerical value and a non-trivial dimensional formula; a dimensionless constant has only the number.

G=(Fr²)/(m₁m₂)⇒[G]=[M⁻¹L³T⁻²]

G is fixed in value and carries dimensions, so it is a dimensional constant.

The other three are all pure ratios, hence dimensionless.

Why the other options are wrong

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