If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
Answer & explanation
Correct answer: option 1
[E] = [FaAbTc]
[ML2T-2] = [MLT-2]a[LT-2]b[T]c
= [MaLa-2bT-2a-2b+c]
a = 1 ; a - 2b = 2 ; -2a - 2b + c = 2
On solving, a = 1 ; b = 1 ; c = 2
[E] = [FAT2]