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NEET PHYSICSEasy

The dimensional formula of relative density is:

A

ML−3ML^{-3}

B

LT−1LT^{-1}

C

MLT−2MLT^{-2}

D

Dimensionless

Step-by-Step Solution

  1. Define Relative Density: Relative density is defined as the ratio of the density of a substance to the density of a reference substance (usually water at 4∘C4^\circ\text{C}).
  2. Identify Dimensions: Since it is the ratio of two identical physical quantities (density), their dimensions cancel each other out . Relative Density=Density of substanceDensity of water=[ML−3][ML−3]=[M0L0T0]\text{Relative Density} = \frac{\text{Density of substance}}{\text{Density of water}} = \frac{[ML^{-3}]}{[ML^{-3}]} = [M^0L^0T^0]
  3. Conclusion: Because the dimensional formula is [M0L0T0][M^0L^0T^0], relative density is a dimensionless quantity.
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