Correct Option (1)
The passage explicitly states, "Sometimes a stray dog watched the procession philosophically and then began to bark. When this happened, my two little sons would stand still holding my hands firmly. A dog can sometimes be dangerous indeed." This sequence directly links the dog's barking to the children's action of holding their father's hands firmly, indicating a reaction rooted in apprehension or fear of the barking dog. The author's subsequent remark reinforces this interpretation.
Incorrect Options:
The passage mentions the old man eating wild berries and throwing away seeds, which birds would peck at. There is no textual evidence to suggest that the children's action of holding hands was related to wanting berries.
The old man carried a long whip, but the passage does not describe this as a source of fear for the children. Their reaction is specifically tied to the dog's barking.
The uneven road is mentioned as a characteristic of the path. However, the children's act of holding hands firmly is presented as a direct consequence of the dog barking, not due to the road's condition.