I'm afraid you can't use single SELECT statement, because you're searching for single value in many tables. So, the best way is to merge data using
UNION (ALL)[
^] statement.
SELECT @EquipmentName = COALESCE(EquipmentName, '')
FROM (
SELECT EquipmentName
FROM PMS_TBL_EQUIPMENT_MASTER
UNION ALL
SELECT SubEquipmentName
FROM PMS_TBL_SUB_EQUIPMENT_MASTER
UNION ALL
SELECT SubFunctionalBlockName
FROM PMS_TBL_SUB_FUNCTIONAL_BLOCK_MASTER
) AS T
WHERE CONVERT(VARCHAR(60),UniqueId)=@EquipmentId