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14/09/2021 9:52 am
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If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
(1) [F] [A][T]
(2) [F][A][T2]
(3) [F][A][T-1]
(4) [F][A-1][T]
1 Answer
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14/09/2021 9:58 am
Correct answer: (2) [F][A][T2]
Explanation:
E ∝ Fa Ab Tc
[M1L2T-2] ∝ [M1L1T-2]a[LT-2]b[T]c
a = 1
a + b = 2 ⇒ b = 1
-2a - 2b + c = -2
⇒ c = 2
a = 1, b = 1, c = 2
E ∝ [F][A][T2]