Question

If force (F) acceleration (A) and time (T) are taken as fundamental units, then find the dimension of energy.

CLASS - XI PHYSICS (Physical World & Measurement)

Answer 1

[ F ]  = [ M ] [ L ] [ T ]⁻²
[ A ]  = [ L ]  [ T ]⁻²
T = T

Energy = Work = Force * displacement
   = [ M ] [ L ]² [ T ]⁻² = [ F ]^a [ A ]^b  [ T ]^c 

Power of [ M ] = 1  =>    a = 1 
       
        power of [ L ] =  a+b = 2    => b = 1
        Power of  [ T ] =    -2 = -2a -2b + c     =>  c = 2

So   energy = [ F ] [ A ] [ T ]²

Answer 2

Explanation:[ F ]  = [ M ] [ L ] [ T ]⁻²

[ A ]  = [ L ]  [ T ]⁻²

T = T

Energy = Work = Force * displacement

  = [ M ] [ L ]² [ T ]⁻² = [ F ]^a [ A ]^b  [ T ]^c  

Power of [ M ] = 1  =>    a = 1  

       

       power of [ L ] =  a+b = 2    => b = 1

       Power of  [ T ] =    -2 = -2a -2b + c     =>  c = 2

So   energy = [ F ] [ A ] [ T ]²

pls mark me as brainliest