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NEET 1993 (AIPMT) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from NEET 1993 (AIPMT)

Q81NEET 1993 · AIPMTEasy

Applications of Dimensional Analysis

The time dependence of a physical quantity $p$ is given by $p = p_0 \exp(-at^2)$ , where $a$ is a constant and $t$ is the time. The constant $a$

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Answer: (b)

The exponent of $e$ must be dimensionless: $[a t^2] = 1$ .
$[a] = [T^{-2}]$ .
So the answer is (b).

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