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MHT CET 2026 (18 Apr, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2026 (18 Apr, Shift 1)

Q6MHT CET 2026 · 18 APR · SHIFT 1Medium

Matter Waves: de Broglie Wavelength

If the kinetic energy of a particle is increased to 16 times, the percentage change in the de Broglie wavelength of a particle is

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Answer: (c)

$\lambda = \dfrac{h}{\sqrt{2mK}} \propto \dfrac{1}{\sqrt{K}}$ .
$K' = 16K \Rightarrow \lambda' = \dfrac{\lambda}{4}$
Change $= \dfrac{\lambda - \lambda/4}{\lambda} \times 100 = 75\%$ (decrease).
So the answer is (c) $75\%$ .

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