Question

What is the de-Broglie wavelength of a 70kg person jogging at the rate of 2.70m/s. the mass of an electron is 9.11 x 10-28g, the speed of light is 3.00 x 108m/s, planks constant is 6.63 x 10-34js.

Answer 1

The de-Broglie wavelength of a person jogging at the rate of 2.70m/s is 3.5 x 10⁻³² m.

What is de-Broglie wavelength?

De-Broglie wavelength is the ratio of Planck's constant  h to the momentum of the electron p.

Momentum p = mass m x velocity v

Given is the mass of a person = 70kg, the speed of person 2.70m/s, Planck's constant h= 6.63 x 10⁻³⁴J.s

De- Broglie wavelength λ= h/mv

λ = 6.63 x 10⁻³⁴/ ( 70 x 2.70)

λ = 3.5 x 10⁻³² m

Thus the wavelength is 3.5 x 10⁻³² m.

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