1
have
A proton a neutron, an election and a particle
Then their
de Broglie wavelength compare as
same energy
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12th
Physics
Dual Nature of Radiation and Matter
Wave Nature of Matter
A proton, a neutron, an ele...
PHYSICS
A proton, a neutron, an electron and an α-particle have same energy. Then their de Broglie wavelengths compare as :
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ANSWER
Kinetic energy of particle, K=
2
1
mv
2
ormv=
2mK
de Broglie wavelength, λ=
mv
h
=
2mK
h
For the given value of K,λα
m
1
∴λ
p
:λ
n
:λ
e
:λ
α
=
m
p
1
:
m
n
1
:
m
e
1
:
m
α
1
Since m
p
=m
n
,henceλ
p
=λ
n
As m
α
>m
p
,thereforeλ
alpha
<λ
p
As m
e
<m
n
,thereforeλ
n
<λ
n
Hence λ
alpha
<λ
p
=λ
n
<λ
e
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