If you mean minecraft Classic, this is not possible. Minecraft classic is only meant for building, not survival. If you want to have survival, you'd have to buy the full version.
To change day to night in Minecraft premium (full), as of 1.3 the command prompt was added to single-player so issue the command /time set night.
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Yes, the day/night cycle doesn't change no matter what gamemode you're in.
In Minecraft, there is a total of 20 minutes in a day (including night). A Minecraft day (sunlight) lasts 10 minutes, and a Minecraft night lasts 10 minutes. Therefore, a Minecraft day in total lasts about 1,200 seconds, and during the day and night about 600 seconds. I hope this helped!
It is /time set [time] Replace [time] with: 0 for Day 14000 for Night
a minecraft day is about 10 minutes. and then a 10minute night
One Minecraft day is 20 minutes. Day is 10 minutes, and night is 10 minutes.