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Question

Physics Question on Dimensional Analysis

If force [F][ F ], acceleration [A][ A ] and time [T][ T ] are chosen as the fundamental physical quantities. Find the dimensions of energy.

A

[F][A][T][ F ][ A ][ T ]

B

[F][A][T2][ F ][ A ]\left[ T ^{2}\right]

C

[F][A][T1][ F ][ A ]\left[ T ^{-1}\right]

D

[F][A1][T][ F ]\left[ A ^{-1}\right][ T ]

Answer

[F][A][T2][ F ][ A ]\left[ T ^{2}\right]

Explanation

Solution

Energy =F.S=FST2T2=[FAT2]= F . S = F \frac{ S }{ T ^{2}} T ^{2}=\left[ FAT ^{2}\right]