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Standard XII
Physics
Matter Waves
Question
The de-Broglie wavelength of a neutron at
972
o
C
is
λ
.
What will be its wavelength at
27
o
C
?
λ
4
λ
2
λ
λ
2
A
4
λ
B
λ
C
λ
2
D
2
λ
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Solution
Verified by Toppr
E
=
1
2
m
v
2
=
p
2
2
m
De - Broglie wavelength
λ
=
h
p
=
h
√
2
m
E
Now for a molecule
E
=
K
T
(Boltzmann Law)
λ
=
h
√
2
m
k
T
λ
=
C
√
T
λ
1
λ
2
=
√
T
2
T
1
Here T is in K
λ
1
λ
2
=
√
300
1245
λ
2
=
2
λ
1
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