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NEET2014PhysicsUnits and DimensionsActual

If force F ,   velocity V and time T are taken as fundamental units, the dimensions of mass are

Options

  1. AF V T - 1
  2. BF V T - 2
  3. CF V - 1 T - 1
  4. DF V - 1 T

Correct answer

D. F V - 1 T

Step-by-step solution

The force is equal to the mass and the acceleration of the body. F = m a = m v t It can be dimensionally represented as F = M × L T 2 = M L T T F = M V T So, the dimension of the mass is M = F T V - 1

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