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Practice question

MCQ

Question

The velocity v of a particle depends on time t and acceleration a as v = k t^a a^b . Find a and b .

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Choose one · Correct answer highlighted

Explanation

[v] = [L T^{-1], [t] = [T], [a] = [L T^{-2] . [L T^{-1] = [T]^a [L T^{-2]^b = [L^b T^{a-2b] . Equate: b = 1, a - 2b = -1 . a - 2(1) = -1 Rightarrow a = 1 . a = 1, b = 1 .

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