Unix - Find Command Argument List Too Long

When I was trying to use the following script to find all files under a directory and perform some task, I got arg list too long error.

for i in `find $WORKDIR/*Alarm* -mtime 1 -type f`
do
some task
done

After I changed to use below script, it worked as expected.

for i in `find $WORKDIR -name ‘*Alarm*’ -mtime 1 -type f`
do
some task
done