Which of the following are the characteristics of isotopes of an element?
(i) Isotopes of an element have same atomic masses.
(ii) Isotopes of an element have same atomic number.
(iii) Isotopes of an element show same physical properties.
(iv) Isotopes of an element show same chemical properties.

Options

A. (i), (iii) and (iv)
B. (ii), (iii) and (iv)
C. (ii) and (iii)
D. (ii) and (iv)

Explanation

To determine the characteristics of isotopes of an element, we need to analyze each statement provided in the question.

### Step-by-Step Solution:

1. **Understanding Isotopes**:
- Isotopes are variants of a particular chemical element that have the same number of protons (atomic number) but different numbers of neutrons, which results in different atomic masses.

2. **Analyzing Each Statement**:
- **(i) Isotopes of an element have same atomic masses**:
- This statement is **false**. Isotopes of an element have different atomic masses because they contain different numbers of neutrons.

- **(ii) Isotopes of an element have same atomic number**:
- This statement is **true**. All isotopes of an element have the same atomic number, which is the number of protons in the nucleus.

- **(iii) Isotopes of an element show same physical properties**:
- This statement is generally **true**. Isotopes have similar physical properties because they have the same electronic structure, but there can be slight variations in properties like density and boiling point due to differences in mass.

- **(iv) Isotopes of an element show same chemical properties**:
- This statement is **true**. Isotopes of an element exhibit the same chemical properties because chemical behavior is determined by the electronic configuration, which remains unchanged among isotopes.

3. **Conclusion**:
- The correct characteristics of isotopes of an element are:
- (ii) Isotopes of an element have same atomic number.
- (iii) Isotopes of an element show same physical properties.
- (iv) Isotopes of an element show same chemical properties.

### Final Answer:
- The characteristics of isotopes of an element are (ii), (iii), and (iv).