If de Broglie wavelength of electron is 1.1x10^-10m.What is the speed of electron?
Answers
Answered by
0
Explanation:
de Broglie wave equation
→
λ
=
h
p
...where
λ
is the wavelength in
m
.
p
(
mass
(
m
)
⋅
velocity
(
v
)
) is momentum
(electron mass =
9.109
⋅
10
−
31
kg
).
h
is Planck's constant
=
6.626
⋅
10
−
34
J
(
joule
)
⋅
s
(
second
)
.
(1 Joule =
1 kg
⋅
m
2
/s
2
)
Resolving...
λ
=
6.626
⋅
10
−
34
J
⋅
s
m
v
λ
=
6.626
⋅
10
−
34
J
⋅
s
(
9.109
⋅
10
−
31
kg
)
(
2.0
⋅
10
8
m/s
)
λ
=
6.626
⋅
10
−
34
kg
⋅
m
2
/s
18.2
⋅
10
−
23
kg
⋅
m/s
Here, everything is cancelled except
m
.
λ
=
3.64
⋅
10
−
12
m
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