WBJEE 2017 notification has already been published by the West Bengal Joint Entrance Examination Board (WBJEEB).
You can read the detailed notification here - WBJEE 2017 Notification.
WBJEE 2017 Application Form is available from January 05, 2017 to February 04, 2017.
WBJEE 2017 Exam date is 23 April 2017.
Paper I - Mathematics will be conducted from 11 am to 1 pm and Paper II - Physics and Chemistry will be conducted from 2 pm to 4 pm.