CBSE 2024 · Region 4 · Set 2 · Q18 · 2 marks
What are matter waves? A proton, an electron and an $\displaystyle \alpha$-particle have the same kinetic energy. Write the de Broglie wavelengths associated with them in increasing order.
Marking-scheme solution
The waves associated with every moving particle are called matter waves.
$\displaystyle \lambda=\frac{h}{\sqrt{2 m K}}$
For same kinetic energy, $\displaystyle \lambda \propto \frac{1}{\sqrt{m}}$
$\displaystyle m_{\alpha}>m_{p}>m_{e}$
$\displaystyle \therefore \lambda_{\alpha}<\lambda_{p}<\lambda_{e}$
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CBSE Class 12 Physics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.