Have you seen Common issues and frequently asked questions?
More specifically, this section:
Error: Black screen when starting the game but can hear the menu music
Fix: This issue can be caused by outdated GPU drivers, use Nvidia GeForce Experience to update your drivers or AMD equivalent. Restart your PC then try launching Plutonium again, the issue should now be resolved. If this doesn't work, r_fullscreen 0 followed by vid_restart in the external game console window should hopefully resolve the issue.