Match List - $${\rm I}$$ (products) with List - $${\rm II}$$ (casting process) and select the correct answer using the codes given below the lists

A weighing machine consists of a 2 kg pan resting on a spring in this condition, with the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length L and the spring constant K (stiffness) are

Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free ends will have

The two shafts $$AB$$ and $$BC$$, of equal length and diameters $$d$$ and $$2d$$, are made of the same material. They are joined at $$B$$ through a shaft coupling, while the ends $$A$$ and $$C$$ are built-in (cantilevered). A twisting moment $$T$$ is applied to the coupling. If $${T_A}$$ and $${T_C}$$ represent the twisting moments at the ends $$A$$ and $$C,$$ respectively, then