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Tardigrade
Question
Physics
If the radius of a nucleus with mass number 125 is 1.5 fermi, then radius of a nucleus with mass number 64 is
Q. If the radius of a nucleus with mass number
125
is
1.5
fermi, then radius of a nucleus with mass number
64
is
1984
202
EAMCET
EAMCET 2014
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A
0.48 fermi
B
0.96 fermi
C
1.92 fermi
D
1.2 fermi
Solution:
By Rutherford's experiment
R
1
=
R
0
A
1
1/3
...
(
i
)
R
2
=
R
0
A
2
1/3
....
(
ii
)
Given
R
1
=
1.5
fermi
A
1
=
125
A
2
=
64
R
2
=
?
Now,
R
2
R
1
=
(
A
2
A
1
)
1/3
[from the Eqs. (i) and (ii)]
R
2
1.5
=
(
64
125
)
1/3
⇒
R
2
1.5
=
4
5
⇒
R
2
=
5
1.5
×
4
=
0.3
×
4
=
1.2
fermi