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Units and Measurement question

2021 · Q155
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Units and Measurement question

2021 · Q155

NEETPhysicsUnits and MeasurementMCQ+4 / −1
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
  1. A
    [F] [A−-−1] [T]
  2. B
    [F] [A] [T]
  3. C
    [F] [A] [T2]
  4. D
    [F] [A] [T−-−1]
View written solutionFree

Correct answer: C

E ∝\propto∝ Fa Ab Tc

[M1L2T−-−2] ∝\propto∝ [M1L1T−-−2]a [LT−-−2]b [T]c

[ML2T–2] ∝\propto∝ [Ma La + b T–2a – 2b + c]

a = 1

a + b = 2 ⇒\Rightarrow⇒ b = 1

−-−2a −-− 2b + c = −-− 2

⇒\Rightarrow⇒ c = 2

a = 1, b = 1, c = 2

E ∝\propto∝ [F] [A] [T2]

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