To be dimensionally consistent,force [ML/T²],pressure [M/LT²],and length [L] must be related as follows. A) force = pressure² $\times$ length² B) force = pressure² $\times$ length C) force = pressure $\times$ length² D) force = pressure $\times$ length

Question

Quizplus · Accepted Answer

To ensure dimensional consistency, we need to ensure that all the units in the equation have the same dimensions. The dimension of force is [ML/T²], pressure is [M/LT²], and length is [L]. Therefore, we can write the equation as force = pressure × length^(²), as in Option C. Here, the units of length are raised to the power of (²) to make the dimensions on both sides of the equation equal.

To Be Dimensionally Consistent,force [ML/T2],pressure [M/LT2],and Length [L] Must Be ×\times×

To Be Dimensionally Consistent,force [ML/T²],pressure [M/LT²],and Length [L] Must Be $\times$