Dual Nature Of Light Question 417

Question: The de-Broglie wavelength $ \lambda $ associated with an electron having kinetic energy E is given by the expression

Options:

A) $ \frac{h}{\sqrt{2mE}} $

B) $ \frac{2h}{mE} $

C) $ 2mhE $

D) $ \frac{2\sqrt{2mE}}{h} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \frac{1}{2}mv^{2}=E\Rightarrow mv=\sqrt{2mE};\ \ \therefore \ \ \lambda =\frac{h}{mv}=\frac{h}{\sqrt{2mE}} $