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JEE · NEET Previous Year Question

$The de-Broglie wavelength (λ) of a particle is related to its kinetic energy (E) as$

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

A $λ \propto E$
B $λ \propto E^{- 1}$
C $λ \propto E^{1/2}$
D $λ \propto E^{- 1/2}$

Correct answer: D

Solution

(d) λ = \frac{h}{mv} = \frac{h}{2 mE}; λ \propto E^{- 1/2}

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