I have problem with my mac mini, sound icon is mute and i am unable to click to unmute it.
Tomorrow night it was working fine, but getting issue now, i inserted headPhone but nothing happen.
list of Audio devices uder System Report
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From the screen shots you posted it appears that your Mac doesn't think it has any sound output devices.
This could indicate a hardware fault. If after rebooting your Mac there are still no output devices listed in
System Preferences > Sound try running a system report.
You can access this by choosing
About this Mac from the Apple () Menu and then pressing the
System Report... button.
On the left of the System Report window there should be a section for
Audio. If you select that you will get a list of Audio devices. If that is empty you most probably have a hardware fault and need to take your Mac to an Apple Store for repair.
You may try resetting your SMC and NVRAM, which controls power for various components as well as retains settings for a few pieces of hardware.
To reset the SMC on your Mac Mini:
To reset the NVRAM:
Aside from that, running an Apple Hardware Test by holding D on boot, then running through the prompts to validate if an issue has been found with the actual hardware for the sound.