Collision Frequency and Number of Air Molecules:

The collision frequency of air molecules is a measure of the rate at which air molecules collide with each other. It is directly proportional to the number of air molecules present in a given volume.

Collision Frequency Formula:

The formula for collision frequency is given by:

Collision Frequency = (Number of Collisions) / (Time Interval)

Explanation of the Given Question:

In the given question, the number of air molecules per unit volume is increased. We need to find the ratio of collision frequency before and after the increase in the number of air molecules.

Reason for not considering n² in the Formula:

The formula for collision frequency does not include the square of the number of air molecules (n²). This is because the number of collisions is not directly proportional to the square of the number of air molecules.

The collision frequency depends on the number of air molecules and the time interval. It is a measure of the rate at which collisions occur, rather than the total number of collisions.

Considering n² in the formula would imply that the collision frequency increases exponentially with the number of air molecules, which is not the case. The collision frequency increases linearly with the number of air molecules.

Effect of Increasing the Number of Air Molecules:

When the number of air molecules per unit volume is increased, the collision frequency also increases.

As the number of air molecules increases, there are more molecules available for collisions. This leads to an increase in the rate of collisions and, consequently, an increase in the collision frequency.

Conclusion:

In conclusion, the ratio of collision frequency of air molecules before and after the increase in the number of air molecules is greater than 1. The collision frequency increases when the number of air molecules per unit volume increases. However, the formula for collision frequency does not include n² because the collision frequency is not directly proportional to the square of the number of air molecules.