If electron and proton moving with the same wavelength which would be moving faster why
Answers
Answer:
Mark as brain list
Explanation:
The speed of the proton must be 2.12 ×10³ m/s.
The de Broglie equation is
λ
=
h
m
v
Let
m
e
and
v
e
represent the mass and velocity of the electron.
Let
m
p
and
v
p
represent the mass and velocity of the proton.
Then
λ
=
h
m
e
v
e
=
h
m
p
v
p
m
p
m
e
v
e
=
1
v
p
v
p
=
v
e
×
m
e
m
p
m
e
= 9.109 × 10⁻³¹ kg
m
p
= 1.673 × 10⁻²⁷ kg
v
p
=
v
e
×
m
e
m
p
= 3.90 × 10⁶ m/s ×
9.109
×
10
⁻
³
¹
kg
1.673
×
10
⁻
²
⁷
kg
=
2.12 ×10³ m/s
This makes sense. A proton has about 2000 times the mass of an electron, so it would have to travel at about ¹/₂₀₀₀ the speed of an electron to have the same momentum —
3.90
×
10
⁶
m/s
2000
≈ 2000 m/s — and the same wavelength.
Hope this helps.
Answer:
Explanation:
That is why a Mathematical Formula (Given by De-Broglie) came up, where wavelength is inversely propotional to the magnitude of mass. Conclusively, we can say, that, as Proton has more mass, it will have a Shorter wavelength than an Electron moving with the same speed. ... A photon and an electron have the same wavelength.