To determine the number of protons, neutrons, and electrons in the given isotope \(^{175}_{71} Lu\), we follow these steps:
- Identify the Atomic Number:
- The atomic number is represented as the subscript in the isotope notation. For \(^{175}_{71} Lu\), it is 71. This number represents the number of protons.
- Determine the Electrons:
- In a neutral atom, the number of protons equals the number of electrons. Therefore, the number of electrons in this isotope is also 71.
- Calculate the Neutrons:
- The mass number is represented as the superscript. For \(^{175}_{71} Lu\), it is 175. The mass number is the sum of protons and neutrons.
- To find the number of neutrons, subtract the number of protons from the mass number:
\(175 - 71 = 104\)
In conclusion, the number of protons, neutrons, and electrons in the isotope \(^{175}_{71} Lu\) are 71, 104, and 71 respectively.
Therefore, the correct option is: 71, 104, and 71.