Hello,

Jharkhand and Bihar both are different states in India. Specially Jharkhand is newly state because at first both are same.

You have Bihar residential certificate and Jharkhand caste certificate. So both are not same. Because some times state category certificate will be create issues in different state. But not every time. I'll suggest you that you can apply central category certificate. Because if you once get this certificate there will be no issues you will face in any State, district and anywhere. So you can apply for it. It will be more helpful.

All the best.