Introduction:
The resolution between two chromatographic peaks is a measure of how well-defined and separated they are. It determines the ability to distinguish between two closely eluting compounds in a chromatogram. The higher the resolution, the better the separation.

Explanation:
To improve resolution between two chromatographic peaks, it is important to consider two key factors: column length and band-width.

Column Length:
- The column length refers to the physical length of the chromatographic column, which is packed with the stationary phase.
- Increasing the column length can improve resolution because it allows for more time for the compounds to interact with the stationary phase.
- As a result, the compounds spend more time in the column, leading to better separation and resolution between the peaks.

Band-width:
- The band-width refers to the width of the peak obtained in a chromatogram.
- Decreasing the band-width improves resolution because it reduces the overlap between the two peaks.
- A narrower band-width means that the compounds spend less time eluting from the column, resulting in less broadening of the peaks.
- This leads to better separation and resolution between the peaks.

The Correct Approach:
The correct approach to improve resolution between two chromatographic peaks is to simultaneously decrease the column length and the band-width.

Decreasing Column Length:
- Decreasing the column length reduces the time it takes for the compounds to elute from the column.
- This results in shorter retention times and faster elution, which can improve the peak separation and resolution.
- However, it is important to note that decreasing the column length too much may compromise the efficiency and resolution of the separation.

Decreasing Band-width:
- Decreasing the band-width involves optimizing the chromatographic conditions to minimize peak broadening.
- This can be achieved by using smaller particle sizes in the stationary phase, which leads to narrower peaks.
- Additionally, optimizing the flow rate and injection volume can also help reduce band-width.
- By decreasing the band-width, the overlap between the peaks is minimized, leading to improved resolution.

Conclusion:
In conclusion, the best procedure to improve resolution between two chromatographic peaks is to decrease the column length and decrease the band-width. This approach allows for faster elution and reduces peak broadening, resulting in better separation and resolution between the peaks.