Question

By what factor must the mass number of nucleus increase to double its volume? ​

Answer 1

Answer:

As the mass number A increases, this causes increase in volume of nucleus, hence density remains constant.

Answer 2

Mass number increases by a factor of 2 on doubling the volume of the nucleus.

• There is a positive relationship between the mass number and the volume of the nucleus.
• Mathematical relationship between mass number and volume of the nucleus:

                        V = [(4/3) x π r₀³] x A

        here, V is the volume of the nucleus

                  r₀ is the radius of a revolving electron i.e. a constant value

                  A  is the mass number

• From the above equation, it can be concluded that:

        V             ∝           A

        The volume of nucleus         ∝     Mass number

• This means that the volume of the nucleus and the mass number is directly proportional to each other.
• As the volume of the nucleus increases, the mass number will also increase and vice-versa.
• Therefore, on doubling the volume of the nucleus, the mass number will also get doubled or increases by a factor of 2.