To determine which pair of elements would likely form the least polar bonds with each other, we need to consider the electronegativity values of the elements involved.
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Oxygen and Phosphorus: Oxygen is highly electronegative (3.44) while phosphorus is much less so (2.19). The difference in electronegativity (approximately 1.25) suggests a polar bond.
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Phosphorus and Bromine: Bromine is also quite electronegative (2.96), and the difference with phosphorus (approximately 0.77) indicates a moderately polar bond.
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Bromine and Nitrogen: Nitrogen has an electronegativity of 3.04, and the difference with bromine (approximately 0.08) indicates a very low polarity.
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Nitrogen and Oxygen: The difference in electronegativity between nitrogen (3.04) and oxygen (3.44) is about 0.40, indicating a polar bond.
Comparing these pairs, bromine and nitrogen would likely form the least polar bonds with each other due to their very similar electronegativity values.