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Byju's Answer
Standard XII
Physics
Beta Decay
What is the m...
Question
What is the maximum energy of the anti-neutrino?
A
Zero
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B
Much less than
0.8
×
10
6
e
V
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C
Nearly
0.8
×
10
6
e
V
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D
Much larger than
0.8
×
10
6
e
V
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Solution
The correct option is
B
Much less than
0.8
×
10
6
e
V
Mass difference between neutron and proton is
0.001
a
m
u
.
Mass-Energy conversion:
1.66
×
10
−
30
×
9
×
10
16
1.602
×
10
−
19
=
0.932
×
10
6
e
V
As electron takes
0.8
×
10
6
e
V
, anti-neutrino will be remained with much less than the energy of electron.
Suggest Corrections
0
Similar questions
Q.
The
K
α
x-ray emission line of tungsten occurs at
λ
= 21 pm. What is the energy difference between
E
K
and
E
L
levels in this atom (MeV refers to mega electron volts;1MeV =
10
6
eV and hc = 1242 eVnm)?
Q.
The value of expression
0.8
×
0.8
×
0.8
−
0.5
×
0.5
×
0.5
0.8
×
0.8
+
0.8
×
0.5
+
0.5
×
0.5
is equal to
Q.
The
β
-decay process, discovered around 1900, is basically the decay of a neutron
(
n
)
. In the laboratory, a proton
(
p
)
and an electron
(
e
−
)
are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two-body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three-body decay process, i.e.
n
→
p
+
e
−
+
¯
¯
¯
v
e
, around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino
(
¯
¯
¯
v
e
)
to be massless and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applied. From this calculation, the maximum kinetic energy of the electron is
0.8
×
10
6
e
V
. The kinetic energy carried by the proton is only the recoil energy.
What is the maximum energy of the anti-neutrino?
Q.
Evaluate
0.8
×
0.8
×
0.8
+
0.5
×
0.5
×
0.5
0.8
×
0.8
−
0.8
×
0.5
+
0.5
×
0.5
Q.
Factorize:
0.64
m
2
−
1.21
n
2
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