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AIEEE 2010 Solved Paper
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© examsnet.com
Question : 54
Total: 89
A nucleus of mass
M
+
∆
m
is at rest and decays into two daughter nuclei of equal mass
M
2
each. Speed of light is
c
.
The speed of daughter nuclei is
c
∆
m
M
+
∆
m
c
√
2
∆
m
M
c
√
∆
m
M
c
√
∆
m
M
+
∆
m
Validate
Solution:
By conservation of energy,
(
M
+
∆
m
)
c
2
=
2
M
2
c
2
+
1
2
⋅
2
M
2
v
2
where
v
is the speed of the daughter nuclei
⇒
∆
m
c
2
=
M
2
v
2
∴
v
=
c
√
2
∆
m
M
© examsnet.com
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