Question

The mass density of nucleus varies with mass number A as
a) 1.6 × 10^-19 J
b) 6.02 × 10^23 J
c) 931 MeV
d) 9.31 MeV

Solve correct. ​

Answer 1

Constant !

[ Note options are wrong should contain constant option ]

Explanation:

Density of nuclear matter is the ratio of mass of nucleus and its volume

If m is average mass of nucleon and R is the nuclear radius,then mass of the nucleus is mA, where A is the mass number of the element.

volume of nucleus = 4/3 πR^3

= 4/3 π ( RoA^1/3 )^3

= 4/3 π ( Ro^3 A )

As density of nuclear matter = mass of nucleus / volume of nucleus

ρ = mA / 4/3 πRo^3 A

ρ = 3m / 4πRo^3

As m and Ro are constants therefore density ρ of nuclear matter is constant.

Answer 2

Answer:

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ Answer:}}}}}}}}\end{gathered}$

Constant !

• [ Note options are wrong should contain constant option ]

Explanation:

• Density of nuclear matter is the ratio of mass of nucleus and its volume
• If m is average mass of nucleon and R is the nuclear radius,then mass of the nucleus is mA, where A is the mass number of the element.

  ⠀⠀⠀⠀⠀⠀⠀⠀⠀

volume of nucleus = 4/3 πR^3

= 4/3 π ( RoA^1/3 )^3

= 4/3 π ( Ro^3 A )

  ⠀⠀⠀⠀⠀⠀⠀⠀⠀

As density of nuclear matter = mass of nucleus / volume of nucleus

ρ = mA / 4/3 πRo^3 A

ρ = 3m / 4πRo^3

  ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

As m and Ro are constants therefore density ρ of nuclear matter is constant.