Question

Calculate the charge on nucleus \({}^7_{}N^{14}\) in coulomb.

Hint:

The charge on a nucleus is calculated by multiplying the atomic number by the elementary charge, as each proton carries the elementary charge.

Answer 1

To calculate the charge on a nucleus, we need to consider the number of protons in the nucleus. The atomic number of nitrogen (denoted by \(Z\)) is 7, meaning that the nitrogen nucleus \({}^7_{}N^{14}\) contains 7 protons.
Each proton has a charge of \(+1.602 \times 10^{-19}\) coulombs (the elementary charge).
Thus, the total charge \(Q\) on the nitrogen nucleus is: \[ Q = Z \times e = 7 \times (1.602 \times 10^{-19} \, \text{C}) \] \[ Q = 1.1214 \times 10^{-18} \, \text{C} \] So, the charge on the nucleus \({}^7_{}N^{14}\) is \(1.1214 \times 10^{-18}\) coulombs.