Q2 / 155 · WBJEE 2017 · Chemistry

Which of the following has the dimension if $\left[\mathrm{ML}^{2} \mathrm{T}^{-2}\right] ?$

  • A
    Coefficient of viscosity
  • Correct answer
    B
    Surface tension
  • C
    Vapour pressure
  • D
    Kinetic energy

Solution

$\because$ Surface tension $(T)=$ Work done per unit area $$ \begin{aligned} \therefore \quad T &=\frac{d W}{d A} \\ &=\frac{F \cdot d x}{d A} \quad\left(\mathrm{FL}^{-1}=\mathrm{MT}^{-2}\right. \end{aligned} $$ $\therefore$ Dimension of surface tension $=\mathrm{ML}^{2} \mathrm{T}^{-2}$

Hence, the correct answer is option: 'B'.

Relevant Questions