What is the ruling on working in a job that the wife was accepted into based on incorrect information submitted previously without her knowledge, and what is the ruling on the money earned from this job before correcting the information?

There is no objection to the wife working and receiving wages if the work is permissible and she performs it as required, and similarly for the money she receives for work performed before submitting the certificate. However, if the money is merely for data entry, then it is not permissible for her to take it unless the truth is made clear to the responsible authority and they agree to it. It is necessary to draw attention to the importance of observing the regulations for women's work to avoid prohibitions.