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Hi @Ronandshaila,
For customers who would like to check the status of their service installation/activation, we have created this community article, which contains a video on How to track your TPG service installation
We also send an email notification once the service is activated. If you have received this email and the service is still not working, we recommend to check if the equipment is properly set up by going to this link : Fibre to the Node/Building (NBN FTTN/FTTB) Setup Guide
In your case, your NBN service has been installed and if there's no wall socket available in the study room, then you need to look for the wall socket in another part of your premises.
BasilDV