Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

Electrons used in an electron microscope are accelerated by a voltage of 25 kV. If the voltage is increased to 100kV then the de–Broglie wavelength associated with the electrons would

Options:

increase by 2 times

decrease by 2 times

decrease by 4 times

increase by 4 times

Correct Answer:

decrease by 2 times

Explanation:

$λ∝\frac{1}{\sqrt{V}}$

$⇒\frac{λ_1}{λ_2}=\sqrt{\frac{V_2}{V_1}}=\sqrt{\frac{100keV}{25keV}=2}⇒λ_2=\frac{λ_1}{2}$