Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

The kinetic Energy of an electron having de Broglie wavelength triple, then the de Broglie wavelength associated with it becomes: 

Options:

\(\frac{λ}{3}\)

\(λ\sqrt{3}\)

\(\frac{λ}{\sqrt{3}}\)

Correct Answer:

\(\frac{λ}{\sqrt{3}}\)

Explanation:

$ \lambda = \frac{h}{mv} = \frac{h}{\sqrt{2mE}} $

$\lambda \propto \frac{1}{\sqrt E}$

$ \lambda \text{ will become }\frac{1}{\sqrt 3 } \text{ times when E is increased to 3 times.}$