Question

Show that $hc=1240eVnm$.

Short answer

The given statement is proved below.

Step-by-step solution

Given Information 

We need to prove that$hc=1240eVnm$.

Explanation

Consider :

$$\begin{gathered} h=6.6261\times {10}^{-34}J \\ c=2.9979\times {10}^{8}m/s \end{gathered}$$

Then,

$$\begin{gathered} hc=\left(6.6261\times {10}^{-34}\times J.s\right)\times \left(2.9979\times {10}^{8}m/s\right) \\ hc=\left(1.9864\times {10}^{-25}J.m\right)\left(\frac{1eV}{1.60217\times {10}^{-19}J}\right)\left(\frac{1nm}{{10}^{-9}m}\right) \\ hc=1239.8eVnm\approx 1240evnm \end{gathered}$$