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

Explanation

To determine the characteristics of isotopes of an element, let's analyze each statement provided in the question:

1. **Isotopes of an element have same atomic masses.**
- This statement is **false**. Isotopes of an element have the same atomic number (number of protons) but different atomic masses due to varying numbers of neutrons.

2. **Isotopes of an element have same atomic number.**
- This statement is **true**. All isotopes of a given element have the same atomic number, which means they have the same number of protons.

3. **Isotopes of an element show same physical properties.**
- This statement is **false**. While isotopes have similar chemical properties, their physical properties (like density, boiling point, etc.) can differ due to differences in mass.

4. **Isotopes of an element show same chemical properties.**
- This statement is **true**. Isotopes of an element exhibit the same chemical properties because they have the same number of electrons and the same atomic structure.

### Summary of the characteristics:
- **False**: Isotopes of an element have same atomic masses.
- **True**: Isotopes of an element have same atomic number.
- **False**: Isotopes of an element show same physical properties.
- **True**: Isotopes of an element show same chemical properties.

### Final Answer:
The correct characteristics of isotopes of an element are:
- (ii) Isotopes of an element have same atomic number.
- (iv) Isotopes of an element show same chemical properties.