STANDARDPhysics-Modern Physics

STANDARD Physics de-Broglie Wavelength MCQ Question

Type: MCQ-conceptual-Medium

If the kinetic energy of an electron is increased four times, the wavelength of the de-Broglie wave associated with it would become

A

one fourth

B

half

C

four times

D

two times

Correct Answer

Option B

Detailed Explanation

The de-Broglie wavelength λ is given by λ = h/mv. If kinetic energy (K.E.) is increased four times, velocity v becomes twice (since K.E. = 1/2 mv²). Therefore, λ becomes half.

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