מבנה האטום
✦ בנוי על ידי פהד גאנם ✦
العربية
☀ מצב בהיר
5.1 · 5.2
▾
✕
eE = evB → v =
E
B
| e·U = ½·m·v² →
e
m
=
v²
2·U
| v =
√
2·e·U
m
500 V
40 V
0.0000 mT
—
—
e
m
—
e
m
—
—
—
4
eE = e·v·B → E = v·B
v =
E
B
=
1.33×10
4
1.0×10
−3
= 1.33×10
7
m/s
e·U = ½·m·v² →
e
m
=
v²
2·U
e
m
=
(1.33×10
7
)²
2 · 500
=
1.77×10
14
1.0×10
3
= 1.77×10
11
C/kg
1.77×10
11
9.58×10
7
= 1.85×10
3
5.3
▾
✕
d
0
=
k · q
α
· q
Au
E
k
| tan
θ
2
=
d
0
2b
5.0 MeV
40
300 fm
0
0
0
0
0
0
0
0
0
0
0
E = 5.0·10⁶ · 1.602·10⁻¹⁹ = 8.01·10⁻¹³ J
E
k
=
k · 2e · 79e
d
0
⇒ d
0
=
k · 158 · e²
E
k
k · 158 · e² = 8.99·10⁹ · 158 · (1.602·10⁻¹⁹)² = 3.645·10⁻²⁶
d
0
=
3.645·10⁻²⁶
8.01·10⁻¹³
= 4.55·10⁻¹⁴ m
5.4
▾
✕
1
λ
= R · (
1
n₁²
−
1
n₂²
) | R = 1.097·10⁷ m⁻¹
בלמר
3
3 → 2
0
0
0
0
1
λ
= R · (
1
2²
−
1
3²
)
1
4
−
1
9
=
5
36
= 0.13889
1
λ
= 1.097·10⁷ · 0.13889 = 1.5236·10⁶ m⁻¹
λ =
1
1.5236·10⁶
= 6.563·10⁻⁷ m = 656.3 nm
1
λ∞
=
R
4
= 2.7425·10⁶ m⁻¹
λ∞ =
1
2.7425·10⁶
= 3.646·10⁻⁷ m = 364.6 nm
5.5 · 5.8
▾
✕
E
n
=
−13.6
n
2
eV | r
n
= a
0
·n
2
, a
0
= 0.529·10
−10
m
ΔE = E
i
− E
f
= h·f | λ =
h·c
ΔE
=
1240
ΔE [eV]
nm
2π·r
n
= n·λ
dB
|
f
γ
f
orb
=
n·(2n − 1)
2·(n − 1)
2
n = 3
n = 2
0
0
0
0
0
0
n = 10
0
0
0
0
E
3
=
−13.6
3
2
=
−13.6
9
= −1.51 eV
E
2
=
−13.6
2
2
=
−13.6
4
= −3.40 eV
ΔE = E
3
− E
2
= (−1.51) − (−3.40) = 1.89 eV
λ =
h·c
ΔE
=
1240
1.889
= 656 nm
E
יינון
= 0 − E
1
= 0 −
−13.6
1
2
= 13.6 eV
λ =
1240
13.6
= 91.2 nm
5.6 · 5.7
▾
✕
ΔE = e·ΔV = 4.9 eV | λ =
h·c
ΔE
=
1240 eV·nm
4.9 eV
= 253 nm
0.0 V
0.0
0.0
4.90
0.0
0
0
0.0
ΔE = e·ΔV = e · 4.9 V = 4.9 eV
E₂ − E₁ = 4.9 eV
λ =
h·c
ΔE
=
1240 eV·nm
4.9 eV
= 253.06 nm ≈ 253 nm
λ = 253 nm = 2.53 · 10⁻⁷ m
n =
V
4.9 V
→ V = 4.9, 9.8, 14.7, 19.6 V
→
🏠
♿