Which of the following ratios has the dimension of mass?

Question

Which of the following ratios has the dimension of mass? (A) Volume / Density (B) Surface tension/ (Angular velocity) 2 (C) Linear momentum / Force (D) Pressure / Power

Tardigrade Admin · Accepted Answer

( text surface Tension / text Angular velocity )=( F / l /( V / r )2) =(F ⋅ r2/l ⋅ v2)=(m ⋅ a ⋅ r2/l ⋅ v2) (kg × (m/r2)× m2/m × (m2)r2) =kg → unit of mass

Q. Which of the following ratios has the dimension of mass?

Volume / Density

Surface tension/ (Angular velocity) $^{2}$

Linear momentum / Force

Pressure / Power

$\frac{surface Tension}{Angular velocity} = \frac{F / l}{( V / r ) ^{2}}$
$= \frac{F \cdot r ^{2}}{l \cdot v ^{2}} = \frac{m \cdot a \cdot r ^{2}}{l \cdot v ^{2}}$
$\frac{k g \times \frac{m}{r ^{2}} \times m ^{2}}{m \times \frac{m ^{2}}{r ^{2}}}$
$= k g \to$ unit of mass