Source: Extra Practice

The dimensional formula for energy is:

Options

Option A

[MLT−2][MLT^{-2}]

Option B is correct

[ML2T−2][ML^2T^{-2}]

Option C

[ML2T−1][ML^2T^{-1}]

Option D

[ML−1T−2][ML^{-1}T^{-2}]

Explanation

Energy can be expressed as work done, which is defined as force multiplied by distance. The dimensional formula for force is [MLT−2][MLT^{-2}] and for distance is [L][L]. Therefore, the dimensional formula for energy is [MLT−2]×[L]=[ML2T−2][MLT^{-2}] \times [L] = [ML^2T^{-2}].