Explanation
'Nobel prize' is a unique award given every year to people who excel in science, arts, academic or other pursuits. It is a noun which refers to a specific award. Hence, when we say, 'Nobel prize', everybody knows what is being referred to.
The indefinite articles, 'a' and 'an' are not used when the noun being described is definite or specific. Hence, options A and B are incorrect.
The definite article, 'the' is used when we believe the hearer/reader knows exactly what we are referring to because there is only one such thing. Hence, option C is the correct answer.
Option D is incorrect as option C is the correct answer.
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