AIPMT Prelims 2006 Physics Dimensional Analysis MCQ Question with Solution

The velocity v of a particle at time t is given by v = at + (b/t + c), where a, b and c are constants. The dimensions of a, b and c are respectively :

A

[L $T^{-2}$ ], [L] and [T]

B

[L], [T] and [LT 2]

C

[L₂T 2], [LT] and [L]

D

[L], [LT] and [T 2]

Correct Answer

Option A

Detailed Explanation

The dimensions are derived based on the equation of motion and dimensional analysis.

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