Final answer:
The high point in Israel's history following periods of religious infidelity is the construction of Solomon's Temple. This event signified political and religious solidarity and marked an era of cultural prosperity and monarchical strength. Solomon's Temple, as the centerpiece of Yahwist worship, represented a renewed national commitment to Yahweh following past transgressions.
Step-by-step explanation:
The high point in Israel's history following infidelity is most notably a) The construction of Solomon's Temple. After the reign of King David, his son Solomon inherited a more organized kingdom and embarked on numerous construction projects. The pinnacle of these was the construction of the Temple of Jerusalem, dedicated to the worship of Yahweh – the center of the Yahwist religion. This temple symbolized the unity and strength of the Israelite state under a monarchical centralism and promoted the centralized worship of Yahweh as dictated by the covenant Moses established. Solomon's reign, which followed his father David's establishment of Jerusalem as the capital, marked an era of wealth, wisdom, and international recognition for Israel.
Solomon's vast building projects, particularly the Temple, indicated political and religious stability, as well as cultural prosperity. These efforts showcased a period of peaceful existence and devotion to Yahweh, after episodes of 'infidelity', where according to scriptural narratives, the Hebrews had strayed from monotheistic worship.
The other options presented in the question, namely b) The Exodus from Egypt, c) The reign of King David, and d) The Babylonian Exile, signal other significant events in Hebrew history, but the construction of Solomon's Temple is the most directly related to a peak in national stature after incidents of infidelity, as it embodied the national commitment to worship Yahweh exclusively.