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The wavelength λ of the waves associated with a moving electron and a moving proton is the same. This implies that they …

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The wavelength λ of the waves associated with a moving electron and a moving proton is the same. This implies that they have the same

a

momentum

b

angular momentum

c

speed

d

energy

✓ Correct answer: a)

momentum

Explanation

Given: The walvength of a moving paticle is given by de Broglie relation:

\(\lambda =\frac{\mathrm{h}}{\mathrm{p}}\) where h is Planck's constant and p is the linear momentum.

If an electron and a proton have the same wavelength \(\lambda .\)

\(\Rightarrow \frac{h}{{p}_{e}}=\frac{h}{{p}_{p}}\)

\(\Rightarrow {p}_{e}={p}_{p}\)

Hence, both have the same momentum.

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