Which of the following combinations of physical quantities has the dimensional formula [ M ⁻¹ L ^3 T ⁻²] ?

Step-by-step solution

Let us evaluate the dimensional formula for each given combination of physical quantities. Option 1: Energy Distance Mass ^2 = [ M L ^2 T ⁻²] [ L ] [ M ^2] = [ M L ^3 T ⁻²] [ M ^2] = [ M ⁻¹ L ^3 T ⁻²] This matches the given dimensional formula. Option 2: Force Volume Mass = [ M L T ⁻²] [ L ^3] [ M ] = [ L ^4 T ⁻²] Option 3: Pressure Volume Density = [ M L ⁻¹ T ⁻²] [ L ^3] [ M L ⁻³] = [ M L ^2 T ⁻²] [ M L ⁻³] = [ L ^5 T ⁻²] Option 4: Power Area Mass ^2 = [ M L ^2 T ⁻³] [ L ^2] [ M ^2] = [ M ⁻¹ L ^4 T ⁻³] Answer: Ene