The correct answer is option 'B' - Cuts.

Explanation:
Differential distillation is a process used to separate components of a mixture based on their boiling points. It involves heating the mixture and collecting the vapors that are produced at different temperature ranges.

After the separation by differential distillation, the high volatile and low volatile components are stored in cuts.

Here is a detailed explanation of the process:

1. Differential Distillation:
Differential distillation is a technique used to separate a mixture of two or more volatile components based on their boiling points. The mixture is heated in a distillation apparatus, and the vapors that are produced are collected and condensed.

2. Boiling Point:
Each component in the mixture has a specific boiling point, which is the temperature at which it changes from a liquid to a vapor. The component with the lowest boiling point is called the high volatile component, while the component with the highest boiling point is called the low volatile component.

3. Distillation Process:
During the distillation process, the mixture is heated gradually. As the temperature increases, the component with the lowest boiling point vaporizes first and rises up the distillation column. This vapor is then condensed and collected as the high volatile component.

4. Cuts:
The distillation column is equipped with multiple trays or packing materials, which allow for further separation of the components based on their boiling points. These trays or packing materials create different temperature zones within the column, known as cuts.

5. Separation of Components:
As the vapors rise up the distillation column, they encounter different temperature cuts. At each cut, the vapor of a specific boiling point range condenses and is collected separately. This allows for the separation of components with different boiling points.

6. Collection of High and Low Volatile Components:
The high volatile component, which has a lower boiling point, is collected in the earlier cuts of the distillation column. The low volatile component, which has a higher boiling point, is collected in the later cuts.

7. Storage:
After the separation by differential distillation, the high volatile and low volatile components are stored separately in cuts. These cuts contain the components with similar boiling points, allowing for further processing or use in different applications.

In conclusion, after the separation by differential distillation, the high volatile and low volatile components are stored in cuts, which are the different temperature zones within the distillation column where the components with similar boiling points are collected separately.