Question

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

• A. $[M^0{L}^0{T}^0]$
• B. $[M^0{L}^0{T}^1]$
• C. $[M^0{L}^0{T}^{-1}]$
• D. none of these

Answer 1

Answer: (C)

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