Assertion :The rest mass energy of a nucleus is smaller than the rest mass energy of its constituent nucleons in free state. Reason: Nucleons are bound together in a nucleus, due to the binding energy between them.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In order to break the nucleus into its constituent nucleons an amount of energy equal to binding energy has to be supplied to the nucleus.
From this we can conclude that the nucleons are bound together in a nucleus due to binding energy between them.
Rest mass of the stable nucleus of stab;e atom is always less than the sum of masses of constituent nucleons. The difference is called mass defect $△ m$ (i.e., $△ m . c^{2}$ ) is utilized in keeping the nucleons bound together. This energy is known as binding energy. Hence both sentence are correct and reason is correct explanation for Assertion

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