Statement-`1`: High thermal conductivity of metals is due to presence of free electrons.
Statement-`2`: Electrons at same temperature have very high average velocity than atoms.

Options

A. Molecular collisions
B. Electronic collisions
C. Atomic collisions
D. All of these

Answer

To analyze the given statements, we will evaluate each statement step by step.

### Step 1: Evaluate Statement 1
**Statement 1**: High thermal conductivity of metals is due to the presence of free electrons.

- Metals are known for their high thermal conductivity, which is the ability to conduct heat. This property is primarily due to the presence of free electrons in metals.
- Free electrons can move easily throughout the metal lattice, allowing them to transfer kinetic energy rapidly when the temperature increases.
- As the temperature rises, these free electrons gain energy and move faster, facilitating the transfer of heat through the metal.

**Conclusion for Statement 1**: This statement is **True**.

### Step 2: Evaluate Statement 2
**Statement 2**: Electrons at the same temperature have very high average velocity than atoms.

- At the same temperature, the average kinetic energy of particles is the same. However, the mass of electrons is significantly less than that of atoms (which consist of protons and neutrons in the nucleus).
- Because kinetic energy (KE) is given by the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is mass and \( v \) is velocity, for a given kinetic energy, a smaller mass (like that of an electron) will have a higher velocity compared to a larger mass (like that of an atom).
- However, this statement is misleading because while electrons may have a higher velocity, the average velocity of atoms (which include the nucleus) is not necessarily lower than that of electrons when considering the entire structure of the atom.

**Conclusion for Statement 2**: This statement is **False**.

### Final Conclusion
- **Statement 1** is **True**: High thermal conductivity of metals is due to the presence of free electrons.
- **Statement 2** is **False**: Electrons at the same temperature do not necessarily have a higher average velocity than atoms.