If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the…

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:
  1. FL-4 T2
  2. FL-3 T3
  3. FL-3 T2
  4. FL-5 T2

Solution

dFaLbTc

ML-3=MLT-2aLbT c

=MaLa+bT-2a+c

comparing :

a=1 ......(i)

a+b=-3 ....(ii)

-2 a+c=0 .......(iii)

c=2  ;  b=-4  ;    [d]=FL-4 T2

Asked in: JEE Main 2021 (27 Aug Shift 2)

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