Percentage decrease in de Broglie wavelength – Rankers Physics
Topic: Modern Physics
Subtopic: Photoelectric Effects and deBroglie Equation

Percentage decrease in de Broglie wavelength

If the kinetic energy of a particle is increased to 16 times, the percentage decrease in de Broglie wavelength of particle is
\(25\%\)
\(75\%\)
\(60\%\)
\(50\%\)

Solution:

Using \(\lambda = \frac{h}{\sqrt{2mK}}\), when kinetic energy \(K\) becomes \(16K\), the new wavelength becomes \(\lambda' = \frac{\lambda}{4}\). The percentage decrease is \(\frac{\lambda - \lambda/4}{\lambda} \times 100\% = 75\%\).

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