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Byju's Answer
Standard XII
Physics
Matter Waves
What is the r...
Question
What is the ratio of wavelength of a photon and that of an electron of mass, m of the same energy
E
?
A
C
√
2
m
E
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B
√
2
m
E
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C
1
C
√
2
m
E
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D
√
m
E
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Solution
The correct option is
A
C
√
2
m
E
Wavelength of the photon is related to its energy by:
λ
p
=
h
c
E
For an electron its deborglie wavelength is given by:
λ
e
=
h
m
v
Squaring,
λ
2
e
=
h
2
m
2
v
2
=
1
/
2
h
2
E
m
λ
e
=
h
√
2
E
m
λ
p
λ
e
=
c
√
2
m
E
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