It depends on what the BIOS version is. Originally H61 motherboards launched with support of Sandy bridge CPUs (2xxx-series) like your i5-2400. When Ivy Bridge (3xxx-series) was released these boards got BIOS updates to make them compatible with Ivy Bridge CPUs. Only you can determine what BIOS version is currently on your board. Unfortunately, Intel no longer provides any support including BIOS updates for your motherboard. However, it is possible to download the newest BIOS for your board through a 3rd party website like softpedia.
First, why do you need to know? Are you thinking of an upgrade to a 3xxx-series CPU?
Here is the page with the final BIOS version for your board. That version would be compatible with all...