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  4. For 10(at+3), the dimensions of a is (Here, t = Time)

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Q. For $10^{(at+3)}$, the dimensions of $a$ is (Here, $t =$ Time)

Physical World, Units and Measurements

Solution:

$at =$ Dimensionless
$\Rightarrow \left[a\right]=\left[T^{-1}\right]$ or $\left[a\right]=\left[M^{0}L^{0}T^{-1}\right]$