Question

Dimensional formula of Pressure$\times$ Volume $=$

• A. Dimensional formula of Work
• B. Dimensional formula of Power
• C. Dimensional formula of Modulus of Elasticity
• D. Dimensional formula of Force

Answer 1

The correct option is A Dimensional formula of Work

Pressure $\times$ Volume $=[M{L}^{-1}{T}^{-2}\times L^3]=\left[M{L}^2{T}^{-2}\right]$

On the other hand, the dimensions of the given quantities are:

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

Power $=\left[M{L}^2{T}^{-3}\right]$

Modulus of Elasticity $=\left[M{L}^{-1}{T}^{-2}\right]$

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

Therefore, Pressure $\times$ Volume $=$ Work