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Standard X
Physics
Nucleus: Common Terms
How does the ...
Question
How does the radius of a nucleus vary with mass number? Show that nuclear density in a given nucleus is independent of mass number A.
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Similar questions
Q.
(a) In a typical nuclear reaction e.g
2
1
H
+
2
1
H
→
3
2
H
+
1
0
n
+
3.27
M
e
V
,
although number of nucleons is conserved, yet energy is released, How? Explain.
(b) Show that nuclear density in a given nucleus is independent of mass number A.
Q.
Radius of nucleus may be given as
R
N
=
R
0
A
1
/
3
, where
A
=
mass number and
R
0
=
constant. Show that the nuclear matter density is nearly constant.
R
0
=
1.2
×
10
−
15
.
Q.
From the relation R =
R
0
A
1
3
, where
R
0
is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).
Q.
The density of a nucleus varies with the mass number
A
as:
Q.
(i) What characteristic property of nuclear force explains the constancy of binding energy per nucleon
(
B
E
/
A
)
in the range of mass number
′
A
′
lying
30
<
A
<
170
?
(ii) Show that the density of nucleus over a wide range of nuclei is constant-independent of mass number
A
.
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