Physical World Units and Measurements - Result Question 26
28. The time dependence of a physical quantity $p$ is given by $p=p_0 \exp (-\alpha t^{2})$, where $\alpha$ is a constant and $t$ is the time. The constant $\alpha$
[1993]
(a) is dimensionless
(b) has dimensions $T^{-2}$
(c) has dimensions $T^{2}$
(d) has dimensions of $p$
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Answer:
Correct Answer: 28. (b)
Solution:
- (b) In $p=p_0 \exp (-\alpha t^{2})$, where $\alpha t^{2}$ where is dimensionless
$\therefore \alpha=\frac{1}{t^{2}}=\frac{1}{[T^{2}]}=[T^{-2}]$
