Question 2: Units , Dimensions and Error Analysis

Question

Two physical quantities having the same dimensional formula $\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right]$ are

Accepted Answer

Stress and pressure both have the dimensions of force per unit area.
Ã¢ÂÂ¢ A force F has dimensions
$$[F] = [M\,L\,T^{-2}].$$
Ã¢ÂÂ¢ Dividing by area (dimensions $L^2$) gives
$$\frac{F}{L^2} = [M\,L\,T^{-2}]\;[L^{-2}] = [M\,L^{-1}\,T^{-2}].$$
Hence stress and pressure share the dimensional formula $$[M^1\,L^{-1}\,T^{-2}],$$ so the correct answer is Option C.

Answer

Thrust and Strain

Answer

Moment of force and Thrust

Answer

Stress and Pressure

Answer

Work and thrust

Units , Dimensions and Error Analysis

Two physical quantities having the same dimensional formula \left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right] are

Choose the correct answer: