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The given question is asking us which pair is not correctly matched. Let`s analyze each option:
Option 1: Dhruva is indeed a research reactor of the Department of Atomic Energy. This statement is correct.
Option 2: Rohini is also correctly matched with the Indian experimental satellite program. This option is also correct.
Option 3: Kamini is a research reactor of the Department of Atomic Energy. This matching is correct.
Option 4: The statement "Apple: Sponsored program of the Department of Science to support research and education at universities" is incorrect. There is no such program called "Apple" sponsored by the Department of Science.
Therefore, the correct answer is option 4. However, it is important to note that there is no mention of the correct pairing for option 4 in the given options. If we had to provide the correct pairing for option 4, we would need more information.
Alert - correct answer should be: There is no correct matching for option 4 as there is no program called "Apple" sponsored by the Department of Science to support research and education at universities.