The recirculation factor and recirculation ratio are terms commonly used in the field of fluid dynamics to describe the flow patterns in a system. When there is no circulation in a system, the recirculation factor and recirculation ratio can be determined as follows:

Recirculation Factor:

The recirculation factor (RF) is defined as the ratio of the flow rate of the recirculating fluid to the total flow rate of the system. It represents the proportion of the fluid that is being recirculated within the system.

Recirculation Ratio:

The recirculation ratio (RR) is defined as the ratio of the recirculating flow rate to the flow rate of the fluid entering the system. It represents the proportion of the fluid that is being recirculated relative to the incoming flow rate.

Explanation:

When there is no circulation in a system, it means that there is no flow of fluid in a closed loop or circuit. In such a case, the entire flow rate of the fluid entering the system will exit the system without any recirculation.

Therefore, the flow rate of the recirculating fluid is zero, and the total flow rate of the system is equal to the flow rate of the fluid entering the system.

Hence, the recirculation factor (RF) is zero, as there is no recirculating flow rate. This eliminates options (a) and (c).

The recirculation ratio (RR) is also zero because the recirculating flow rate is zero. This eliminates option (d).

Therefore, the correct answer is option (b), which states that the value of the recirculation factor is 0 and the value of the recirculation ratio is 1.

In summary, when there is no circulation in a system, the recirculation factor is 0, indicating no recirculating flow rate, and the recirculation ratio is 1, indicating that the entire flow rate is being recirculated relative to the incoming flow rate.