Position of a body with acceleration a is given by x = k a m t n . Here t is time. Find the dimensions of m and n .

Question

Position of a body with acceleration a is given by x = k a m t n . Here t is time. Find the dimensions of m and n ., m = 1 , n = 1, m = 1 , n = 2, m = 2 , n = 1, m = 2 , n = 2

MARKS App · Accepted Answer

Positions x = k a m t n M 0 L T 0 = L T - 2 m T n = M 0 L m T - 2 m + n On comparing both sides m = 1 - 2 m + n = 0 n = 2 m n = 2 × 1 = 2

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