H1B VISA

Sure if s/he can get a work visa, but not on H-4, namely as a dependent.

You cannot work using an H-4 visa. You need to qualify for a working visa.

No, not if she is under an H-4 visa.

Currently not on H-4. However, under Obama's new legislation, this may soon change - H-4 dependents of H-1Bs with approved I-140 petitions may be able to get EADs. Further, the spouse may be eligible to obtain his/her own work visa depending on the circumstances.