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NEET 2014 (AIPMT) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from NEET 2014 (AIPMT)

Q137NEET 2014 · AIPMTMedium

Matter Waves: de Broglie Wavelength

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

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Answer: (b)

$\lambda \propto \dfrac{1}{\sqrt{K}}$ .
$K' = 16K \Rightarrow \lambda' = \dfrac{\lambda}{4}$ , a decrease of $\dfrac{3}{4} = 75\%$ .
So the answer is (b) 75.

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