Under the Hindu Adoptions and Maintenance Act, 1956, consent of wife for adopting a child is not…

Under the proviso to section 7 of the Hindu Adoptions and Maintenance Act, 1956, a Hindu male needs his living wife's consent to adopt unless she has completely and finally renounced the world, has ceased to be a Hindu, or has been declared by a court of competent jurisdiction to be of unsound mind.

Each listed situation is one of these exceptions, so "All of the given options are correct". A temporary withdrawal from family life or an informal allegation of unsoundness would not be enough.