Final answer:
In a split-brain patient, the right hemisphere would have a concept of 'ball' but not the left hemisphere if the corpus callosum is cut, which disrupts communication between the hemispheres.
Step-by-step explanation:
In a split-brain patient, the right hemisphere would have a concept of 'ball' but not the left hemisphere under the condition where the sensory information is only processed by the right hemisphere. This configuration occurs if the corpus callosum has been severed, preventing communication between the two hemispheres.
Consequently, when an object like a ball is presented to the patient's left visual field, the signal goes to the right hemisphere. However, if the speech center is in the left hemisphere, the patient will not be able to name the object verbally because the information cannot be relayed to the language-processing region.
The subject will still be able to pick up the object with their left hand because motor control of the left side of the body is also managed by the right hemisphere.