If the kinetic energy of a moving particle is E , then the de-Broglie wavelength is

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Question: Answered & Verified by Expert

If the kinetic energy of a moving particle is

E

, then the de-Broglie wavelength is

PhysicsDual Nature of MatterNEET

Options:

A $λ = h \sqrt{2 m E}$
B $λ = \sqrt{\frac{2 m E}{h}}$
C $λ = \frac{h}{\sqrt{2 m E}}$
D $λ = \frac{h E}{\sqrt{2 m E}}$

Solution:

2902 Upvotes Verified Answer

The correct answer is:

λ = \frac{h}{\sqrt{2 m E}}

E = \frac{1}{2} m v^{2} or m v = \sqrt{2 m E}

so

λ = \frac{h}{m v} = \frac{h}{\sqrt{2 m E}}

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