What is the dimensional equation of mass density (ρ)?
[M L⁻³ T⁰]
Mass density (ρ) is defined as mass (m) per unit volume (V). The dimensional formula for mass is [M], and the dimensional formula for volume is [L³] (length cubed).
Therefore, the dimensional equation for mass density is:
\( \rho = \frac{m}{V} \)
Substituting the dimensional formulas:
\( [\rho] = \frac{[M]}{[L^3]} = [M L^{-3} T^0] \)
Thus, the correct dimensional equation for mass density (ρ) is [M L⁻³ T⁰]. This corresponds to option 3.
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