Sometimes it is convenient to construct a system of units so that all quantities can be…

Physics · JEE Advanced · NTA ExamsPhysics and Measurement

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows: [position] = [Xα]; [speed] = [Xβ]; [acceleration] =[Xp]; [linear momentum] = [Xq]; [force] = [Xr]. Then
  1. a + p = 2b
  2. p + q – r = b
  3. p – q + r = a
  4. p + q + r = b

Answer

(C) p – q + r = a

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