Final answer:
Option 'b a particle having 9 protons, 9 neutrons, and 10 electrons' represents an ion because it has different numbers of protons and electrons, resulting in a negative charge of -1.
Step-by-step explanation:
An ion is an atom or molecule that has a net electric charge due to the loss or gain of one or more electrons. To find which of the given particles represents an ion, we need to compare the number of protons to the number of electrons in each particle. If the numbers are equal, the particle is neutral; if not, it is an ion. Option 'a particle having 14 protons, 14 neutrons, and 14 electrons' is neutral because the numbers of protons and electrons are equal. Similarly, option 'c a particle having 19 protons, 21 neutrons, and 19 electrons' is also neutral for the same reason. Option 'd a particle having 1 proton, 3 neutrons, and 1 electron' represents a neutral hydrogen isotope. However, option 'b a particle having 9 protons, 9 neutrons, and 10 electrons' has more electrons than protons, making it an ion specifically, an anion with a charge of -1.