A plot of versus for a moving particle of constant mass yields a straight line. What is the value of — Atomic Structure Chemistry Question

💡 Solution & Explanation

The de Broglie equation is $\lambda = \frac{h}{mv}$. Taking the logarithm on both sides gives $\log(\lambda) = \log(\frac{h}{m}) - \log(v)$. This is the equation of a straight line $y = mx + c$, where $y = \log(\lambda)$, $x = \log(v)$, the intercept $c = \log(h/m)$, and the slope $m = -1$.