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Byju's Answer
Standard XII
Chemistry
De Broglie's Hypothesis
How De Brogli...
Question
How De Broglie wavelength is related to velocity for particles having same kinetic energy
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Solution
Dear Student
λ
=
h
m
v
; h is Planck's constant, m is the mass, v is the velocity
λ
1
λ
2
=
h
m
1
v
1
h
m
2
v
2
=
m
2
v
2
m
1
v
1
D
i
v
i
d
e
b
o
t
h
n
u
m
e
r
a
t
o
r
a
n
d
d
e
n
o
m
i
n
a
t
o
r
b
y
2
a
n
d
m
u
l
t
i
p
l
y
b
y
v
2
a
n
d
v
1
λ
1
λ
2
=
m
2
v
2
×
v
2
×
v
1
2
m
1
v
1
×
v
1
×
v
2
2
K
i
n
e
t
i
c
e
n
e
r
g
y
,
K
=
1
2
m
v
2
λ
1
λ
2
=
K
2
×
v
1
K
1
×
v
2
K
2
=
K
1
H
e
n
c
e
,
λ
1
λ
2
=
v
1
v
2
λ
α
v
De Broglie wavelength is directly proportional to velocity for particles having same kinetic energy
Regards
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