Worksheet: The Atomic Nucleus

In this worksheet, we will practice describing the structure of atomic nuclei and linking variations in nuclear stability to interactions between nucleons.

Q1:

The radius of the nucleus of 6329Cu is approximately 4.8 pm. What is the average density of the nucleus to one significant figure, assuming it is spherical in shape?

  • A 7 × 1 0 g/cm3
  • B 7 × 1 0 g/cm3
  • C 2 × 1 0 g/cm3
  • D 3 × 1 0 g/cm3
  • E 2 × 1 0 g/cm3

Q2:

What is the main attractive force between particles in the nucleus of an atom?

  • AGravity
  • BStrong nuclear force
  • CWeak nuclear force
  • DElectrostatic force
  • EElectromagnetic force

Q3:

The radius of an atomic nucleus, 𝑅, can be estimated using the equation 𝑅=𝑟𝐴, where 𝑟=1.2fm and 𝐴 is the number of nucleons in the nucleus. Assuming the nucleus is spherical in shape, find an expression for the approximate average nuclear density in atomic mass units per unit volume.

  • A 𝜋 𝑟 3 𝐴
  • B 3 4 𝜋 𝑟
  • C 𝐴 𝜋 𝑟
  • D 𝐴 4 𝜋 𝑟
  • E 𝑟 3 𝜋 𝐴

Q4:

A neutron star has a mass of 2.40 solar masses and a diameter of 26.0 km. A solar mass is 1.99×10 kg.

Calculate the density of the neutron star, assuming it is spherical.

  • A 1 . 7 × 1 0 kg/m3
  • B 6 . 5 × 1 0 kg/m3
  • C 2 . 2 × 1 0 kg/m3
  • D 5 . 2 × 1 0 kg/m3
  • E 1 . 6 × 1 0 kg/m3

A uranium-235 nucleus has a diameter of 15.0 fm. Calculate the density of this nucleus as a percentage of the density of the neutron star.

Q5:

A neutron star has a mass of 1.97 solar masses and a diameter of 13.0 km. A solar mass is 1.99×10 kg.

What is the density of the neutron star to two significant figures, assuming it is spherical?

  • A 1 . 4 × 1 0 kg/m3
  • B 2 . 7 × 1 0 kg/m3
  • C 3 . 4 × 1 0 kg/m3
  • D 6 . 0 × 1 0 kg/m3
  • E 8 . 8 × 1 0 kg/m3

A hydrogen nucleus has a diameter of 1.75 fm. What is the density of this nucleus as a percentage of the density of the neutron star, to two significant figures?

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