de Broglie wavelength electron velocity 5520 km/s

de Broglie wavelength electron velocity 5520 km/s

Find the de Broglie wavelength (in nm) associated with an electron that is moving with a velocity of 5520 km/s. The electron rest mass is 9.11×10^(-31) kg.

Note, electrons having this speed would need to be treated as waves in atoms because the wavelength is on the order of the size of atoms.

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(5520 km/s) (1000 m / 1 km) = 5520000 m/s

λ = h / mc

( 참고 https://ywpop.tistory.com/3539 )

= (6.626×10^(-34) kg•m^2/s) / [(9.11×10^(-31) kg) (5520000 m/s)]

= (6.626×10^(-34)) / [(9.11×10^(-31)) (5520000)]

= 1.32×10^(-10) m

1.32×10^(-10) m × (10^9 nm / 1 m) = 0.132 nm

답: 0.132 nm

[키워드] 드브로이 물질파 기준, 드브로이 기준, de Broglie 기준