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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Units and Dimensions

NEET 2014 · Physics · Units and Dimensions

If force (F), velocity (V) and time (T) are taken as fundamental...

If force (F),\left(F\right),velocity \left(V\right)andtime(T)and time \left(T\right) are taken as fundamental units, the dimensions of mass are

Options

  1. A[FVT−1]\left[FV{T}^{- 1}\right]
  2. B[FVT−2]\left[FV{T}^{- 2}\right]
  3. C[FV−1T−1]\left[F{V}^{- 1}{T}^{- 1}\right]
  4. D[FV−1T]\left[F{V}^{- 1}T\right]

Correct answer

D. [FV−1T]\left[F{V}^{- 1}T\right]

Step-by-step solution

The force is equal to the mass and the acceleration of the body.

F=ma=mvtF = ma = \dfrac{mv}{t}

It can be dimensionally represented as

F=M×LT2=MLTTF = M \times \dfrac{L}{{T}^{2}} = \dfrac{ML}{TT}
F=MVTF = \dfrac{MV}{T}

So, the dimension of the mass is
\left[M\right] = \left[FT{V}^{- 1}\right]

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