Explanation:

Radiation shape factor, also known as view factor or form factor, is a dimensionless quantity that describes the radiative exchange between two surfaces. It represents the fraction of the radiation leaving one surface that is intercepted by another surface.

The value of radiation shape factor depends on the geometry and orientation of the surfaces. In this case, we are considering the same type of shapes, so we can assume that the surfaces have similar dimensions and shapes.

Surface Area:
The surface area of a shape determines the amount of radiation that can be emitted or absorbed by that surface. A larger surface area means more radiation exchange between the surfaces. Therefore, for the same type of shapes, the value of the radiation shape factor will be higher when the surfaces have a larger area.

Distance between Surfaces:
The distance between the surfaces also affects the radiation shape factor. When the surfaces are closer together, there is a higher probability of radiation emitted by one surface being intercepted by the other surface. This increases the radiation shape factor. On the other hand, when the surfaces are moved further apart, the probability of interception decreases, resulting in a lower radiation shape factor.

Combining Surface Area and Distance:
When both surface area and distance are considered together, we can determine the optimal conditions for a higher radiation shape factor. In this case, when the surfaces are larger and held closer, the radiation shape factor will be higher.

Conclusion:
The correct answer is option 'D' - Larger and held closer. The value of the radiation shape factor will be higher when the surfaces are larger and held closer to each other. This leads to a greater exchange of radiation between the surfaces.