## Dependence of nuclear radius on nucleon number

What is the relationship between the radius of a nucleus, *R*, and the number of nucleons in the nucleus , *A* (AKA the mass number, *N*)?

Use the following data to investigate this. Assuming it is a power relationship, recall that we can find the log of both sides in order to discover what this power is.

Nucleon number, A |
Nuclear radius, R (fm) |

7 | 2.30 |

14 | 2.89 |

31 | 3.77 |

88 | 5.34 |

120 | 5.92 |

157 | 6.47 |

197 | 6.98 |

239 | 7.45 |

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