Question

The dimension of mass is zero in which of the following physical quantities?

• A. Gravitational potential
• B. Latent heat
• C. Specific heat capcity
• D. All of the above

Answer 1

The correct option is D All of the above

$\left[Gravitationpotential\right]=\left[\frac{Gm}{r}\right]=\left[\frac{F{r}^2}{m^2}\right]\times \left[\frac{m}{r}\right]$

$=[\frac{Force}{Mass}\times r]=\left[\frac{M^1{L}^2{T}^{-2}}{M^1}\right]$

$=\left[M^0{L}^2{T}^{-2}\right]$

$\left[Latentheat\right]=\left[\frac{Energy}{Mass}\right]=\left[\frac{M^1{L}^2{T}^{-2}}{M}\right]=\left[L^2{T}^{-2}\right]$

$\left[Specificheatcapacity\right]=\left[\frac{Energy}{Mass\times temp}\right]=\left[\frac{M^1{L}^2{T}^{-2}}{M^1{K}^1}\right]=\left[L^2{T}^{-2}{K}^{-1}\right]$