Calculate the wavelength associated with a 20Ne+ ion moving at a velocity of 2.0 x10E5 m/s. The atomic mass of 20Ne is 19.992 amu?
回答 (1)
2020-04-07 11:32 pm
For the ²⁰Ne⁺ ion:
Mass, m = 19.992/(6.022 × 10²³) g
Velocity, v = 2.0 × 10⁵ m/s
Planck constant, h = 6.626 × 10⁻³⁴ J s
Momentum of the ²⁰Ne⁺ ion:
mv = h/λ
Then, λ = h/(m v)
Wavelength, λ
= (6.626 × 10⁻³⁴) / {[19.992/(6.022 × 10²³)] × (2.0 × 10⁵)} m
= (6.626 × 10⁻³⁴) × (6.022 × 10²³) / [19.992 × (2.0 × 10⁵)] m
= 9.98 × 10⁻¹⁷ m
Mass, m = 19.992/(6.022 × 10²³) g
Velocity, v = 2.0 × 10⁵ m/s
Planck constant, h = 6.626 × 10⁻³⁴ J s
Momentum of the ²⁰Ne⁺ ion:
mv = h/λ
Then, λ = h/(m v)
Wavelength, λ
= (6.626 × 10⁻³⁴) / {[19.992/(6.022 × 10²³)] × (2.0 × 10⁵)} m
= (6.626 × 10⁻³⁴) × (6.022 × 10²³) / [19.992 × (2.0 × 10⁵)] m
= 9.98 × 10⁻¹⁷ m
收錄日期: 2021-04-18 18:27:52
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