Sometimes it is convenient to construct a system of units so that all quantities can be…
Physics · JEE Advanced · NTA Exams — Physics 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
a + p = 2 b - p + q – r =
b - p – q + r =
a - p + q + r =
b
Answer
(C) p – q + r = a
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