Final answer:
The described form of anxiety related to exposure to unfamiliar people and situations in children is known as 'stranger anxiety,' a concept observed by Piaget during early childhood development. It is not explicitly mentioned in the provided options, but it best fits the question's description.
Step-by-step explanation:
The form of anxiety shown by inhibited children that comes from their exposure to unfamiliar people, settings, or challenges is known as stranger anxiety. This type of anxiety is typical during early childhood development, as observed by Piaget, and it manifests when a child encounters someone or something that does not fit into their existing mental schemas. It's a common stage where children show distress upon meeting unfamiliar individuals, often leading to crying, clinging to a caregiver, or reaching out towards familiar figures.
While the answer options provided include various types of anxieties, the description of anxiety due to exposure to new situations or people closely aligns with what Piaget describes as stranger anxiety. Therefore, although not listed in the provided options, stranger anxiety is the most accurate term for this phenomenon. It's important to note that each child may cope with anxiety differently, following Horney's theories on coping styles such as moving toward, against, or away from people based on their developmental experiences and environments.