1)

The energy of an electron having de-Broglie wavelength $\lambda$ is

(where, h= planck's constant, m= mass of electron)


A) $\frac{h}{2m\lambda}$

B) $\frac{h^{2}}{2m\lambda^{2}}$

C) $\frac{h^{2}}{2m^{2}\lambda^{2}}$

D) $\frac{h^{2}}{2m^{2}\lambda^{}}$

Answer:

Option B

Explanation:

We know that  , 

$\lambda= \frac{h}{\sqrt{2m(KE)}}$

on taking square on both sides,we get

$\lambda^{2}= \frac{h^{2}}{2m(KE)}$

 $KE =  \frac{h^{2}}{2m\lambda^{2}}$