Find files based on modified date(specifying the exact hour)

go for this one:

find . -newermt "2013-01-01 00:00:00" ! -newermt "2013-01-02 00:00:00"

m The modification time of the file reference

t reference is interpreted directly as a time

The basic structure of the find command looks like this:

# find <paths> <filters> <actions>

find / -mtime -10 -mtime +4

find has + and - operators that work with the mtime, atime and ctime options:

atime == Access Time
mtime == Modified Time
ctime == Change Time

You can read inode with -*time and define intervals for your times via + and/or -