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Standard XII

Physics

Dimensional Analysis

If force F ...

Question

If force $(F)$ , length $(L)$ and time $(T)$ be considered fundamental units, then units of mass will be

[F L T^{- 2}]

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[F L^{- 2} T^{- 1}]

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[F L^{- 1} T^{2}]

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[F^{2} L T^{- 2}]

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Solution

The correct option is C $[F L^{- 1} T^{2}]$
Force is defined as $F = m a$
Dimensions of force $F = [M L T^{- 2}]$
$⟹$ Unit of mass $M = [F L^{- 1} T^{2}]$

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If force (F), length (L) and time (T) be considered fundamental units, then units of mass will be

The correct option is C [FL−1T2]Force is defined as F=maDimensions of force F=[MLT−2]⟹ Unit of mass M=[FL−1T2]

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The correct option is C $[F L^{- 1} T^{2}]$
Force is defined as $F = m a$
Dimensions of force $F = [M L T^{- 2}]$
$⟹$ Unit of mass $M = [F L^{- 1} T^{2}]$