Question

The Richardson equation is given by $I=A{T}^2{e}^{-B/kT}$. The dimensional formula for $A{B}^2$ is same as that for

• A. $I{T}^2$
• B. $kT$
• C. $I{k}^2$
• D. $I{k}^2/T$

Answer 1

Answer: (C)

$I=A{T}^2{e}^{-B/kT}$
Dimensionally, $A=I/T^2$, dimensions of $B=kT$
($\because$ power of exponential is a number)
$A{B}^2=\frac{I}{T^2}{\left(kT\right)}^2=I{k}^2$