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are dimensionless quantities always unitless​

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Important thing is that all unitless quantity is dimensionless quantity. .A dimensionless physical quantity may have an unit
Important thing is that all unitless quantity is dimensionless quantity. ... A dimensionless physical quantity may have an unit (e.g. Mechanical equivalent of heat) but a unitless physical quantity is always dimensionless (e.g. Coefficient of friction , refractive index
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