Question

l is proportional to –

• A. $\frac{1}{E}$ for both photons and particles
• B. $\frac{1}{E}$for photons, $\frac{1}{\sqrt{E}}$for particle
• C. $\frac{1}{\sqrt{E}}$for both photons and particles
• D. $\frac{1}{\sqrt{E}}$for photons, $\frac{1}{E}$for particles

Answer 1

Answer: (B)

$\frac{1}{E}$for photons, $\frac{1}{\sqrt{E}}$for particle

Answer 2

Energy for photon = E = $\frac{hc}{\lambda}$ or l = $\frac{hc}{E}$

or l µ $\frac{1}{E}$

Energy for particle,

l =$\frac{h}{\sqrt{2mE}}$

l µ $\frac{1}{\sqrt{E}}$