Question

In a system of units if force F, acceleration A and time T are taken as fundamental units, then the dimensional formula of energy is

• A. FA²T
• B. FAT²
• C. F²AT
• D. FAT

Answer 1

Answer: (B)

FAT²

Answer 2

Energy = ML²T^-2 = [MLT^-2]^a [LT^-2]^b [T]^c

= M^aL^{a + b} T^{2a – 2b + c}

a = 1, a + b = 2 ∴ b = 1,

-2a – 2b + c = - 2 and c = 2