For a nucleus of mass number
and radius
, the mass density of nucleus can be represented as
Text Solution
Verified by ExpertsThe correct answer is:
B
The radius
of a nucleus is given by the empirical relation:

where
is a constant and
is the mass number.
The volume
of the nucleus is approximately that of a sphere:

Substituting the expression for
into the volume formula:

The mass density
is defined as the mass
(which is proportional to
) divided by the volume:

Notice that
cancels out in the numerator and denominator, so the density is:

meaning it is independent of the mass number A.
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