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Question

The size of the nucleus varies as __________ power of the atomic number.

A
1/2
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B
2
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C
1/3
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D
3
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Solution

The correct option is C 1/3
We know that the cube of radius of nucleus is directly proportional to the atomic mass.

R3αA

RαA13

R=R0A13

Where, R is the Radius of the nucleus
R0 is Fermi Constant

So, the radius of a nucleus is proportional to the cube root of its mass number.

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