Is it permissible for a wife to make her husband swear by Allah to go to work, knowing that he is unable to refuse the oath, and does the husband have the right to refuse her request for that?

Scholars differed concerning the ruling on answering one who asks by Allah, and the preponderant opinion is that it is obligatory to answer him. It is disliked to ask by Allah Almighty or by the Face of Allah. What happens from your wife towards you when you intend to be absent from work stems from her concern for your well-being, so you should advise her in a kind manner, and beware of discord. There is no sin upon you if you disagree and do not answer her request, because answering is only recommended.