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Hi viraprashant and welcome to MySwissAlps!
If I can ask, please don’t write in all capital letters – thanks! I have edited your post.
We have a good selection of activities (listed here) that can easily be done in a day from Lucerne.
Use the Swiss railways timetable here to plan your trips to any of those activities and all around Switzerland.
You can go further afield as well, depending on how long you want to spend traveling in one day. Several towns and mountains in the Bernese Oberland region could also be done in a day (but the time on a train can get too long for some people) so be sure to check the timetable above to see if it can work for you.
Lucas