If the momentum of an electron were doubled, how would its wavelength change?

Question

Chemistry

Samara Weiss

11 February, 04:30

If the momentum of an electron were doubled, how would its wavelength change?

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Answers (1)

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Xavier Chen · Answer 1

If the momentum of an electron were doubled its wavelength would be shortened to half the original value.

Explanation:

The relation between the momentum and the wavelength of a particle is given by De Broglie's equation:

λ = h / p

Where, λ is the wavelength, h is Planck's constant, and p is the momentum.

h = 6.63 * 10⁻³⁴ J. s

Therefore, as per De Broglie's equation, the momentum of an electron and its wavelength are inversely related, meaning that if the momentum of an electron were doubled its wavelength would be shortened to half the original value.