The length varies a lot. Undergrads often write shorter ones than grad student applications. Two pages might be safe.
I think you should briefly mention having contemplated med school, and then focus on giving lots of details about your academic intentions, your professional intentions -- as if you have your whole life planned out.
Consider Chinese Medicine, it's got the most profound truths I have ever read...study The Body Electric by Becker to find out why acupuncture works.
Kevin, EssayForum.com