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Dual Nature of Radiation and Matter
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Wave Nature of Matter
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What is the de Broglie wavelength of the
Question
What is the de Broglie wavelength of the electron accelerated through a potential difference of 100 Volt?
A
12.27
A
˚
B
1.227
A
˚
C
0.1227
A
˚
D
0.001227
A
˚
Medium
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Solution
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Correct option is B)
Given :
V
=
1
0
0
volts
de-Broglie wavelength of electron
λ
=
2
m
e
V
h
∴
λ
=
2
(
9
.
1
×
1
0
−
3
1
)
(
1
.
6
×
1
0
−
1
9
)
(
1
0
0
)
6
.
6
×
1
0
−
3
4
Or
λ
=
5
.
4
×
1
0
−
1
0
6
.
6
×
1
0
−
3
4
m
⟹
λ
=
1
.
2
2
7
×
1
0
−
1
0
m
=
1
.
2
2
7
A
˚
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