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in Photoelectric Effect and Matter Waves by (61.1k points)

If the energy of a non-relativistic free electron is doubled, then by which value of, frequency of wave matter attached to it will vary?
(a) \(1 / \sqrt{2}\)
(b) 1/2
(c) \(\sqrt{2}\)
(d) 2

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(d) 2
The energy E’ = 2E for non-relativistic free electron
E’ = pc
but p = \(\frac{h}{\lambda}\)
∴ E’ = \(\frac{h}{\lambda}\) × c
but \(\frac{c}{\lambda}\) = v
∴ E’ = hv
∴ V ∝ E’
So the frequency of matter waves twice.

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