Can I study psychology after 12th with science? is psychology a good career choice?

[Victor]

It would be really great if someone could give me a detailed explanation along with list of best colleges which provide good courses for it.
I'm about to write the JEE examination this year and know absolutely nothing about engineering..
I am not at all interested in it, psychiatry seems interesting and a creative field.

[Rank]

Okay. Wow this is certainly going be a long answer.

I'll start by asking whether you want to do psychiatry or psychology, since your title contradicts with your question. Though seemingly alike, the education and career path is extremely different.
Psychology, as the word suggests, is the study of behaviour. It's a LARGE field. You can work with sick people, in marketing, organization, with the military, schools, counselling and with researchers after a good education in psychology. It's not restricted to abnormal psychology/clinical psychology, as many perceive.

Psychiatry on the other hand, is the study, diagnosis and treatment of mental disorders among people. In layman's terms, you study people who are mentally ill and provide treatment. Your work setting is largely a hospital or a clinic. A psychiatrist can provide medication, counselling and talk therapy.

Now the main difference with a clinical psychologist and a psychiatrist is that a psychiatrist has a medical degree, thus has the ability to provide medication. A CLINICAL psychologist on the other hand, in most countries, especially India do not have the license to provide medication to sick people, but rather employ a variety of problem solving techniques. Keep in mind, though clinical psychology seems to be the only prominent course in India, psychology has MANY more branches than what we see in media.

Career paths:
A psychiatrist has to be a certified doctor, thus you need an MBBS in India. Your main specialization would start a few years later, during your MD, where you begin picking your electives. Note, this process is different in each country. In the U,S. you can have a Bachelors in Psychology and still be certified, if you go to med school after your Undergraduate. It's not the same in India. Becoming a fully certified psychiatrist is a long process, taking a period of 10-12 years.

A psychologist starts with a B.A. or a B.Sc. in Psychology, depending on the college. This really doesn't matter, as the core syllabus remains the same and the B.A./B.Sc. difference doesn't really arise as Psychology as it is considered to be a natural and social science. This is followed by a M.A or M.Sc in Psychology. This the part where you begin to specialise. You don't get good job offers with an M.A/M.Sc in India. If you're interested in Clinical Psychology, you start by interning in a good Mental Heath Hospital, or you open your own clinic. If you like marketing and advertising, you can specialise in that too. Or, you can try your hand at research, and go on to receive a P.hD.
If you do want to practice in any field abroad, you need a P.hD. Unfortunately, both the career paths could take up to 12 years.

Coming to your situation, it's a relief that you realised your lack of interest this early. You can either switch from Engineering to Medicine or continue with a B.A in Psychology.
In terms of salary, psychiatrists easily earn more. In India, medicine degrees are glorified. Psychologists, however, abroad and in India, tend to be more research oriented, and since you look out for creativity, this might work out for you. Again, remember, if you do take up psychology, you don't have to confine yourself to a small field of treating mentally ill patients.

Finally, addressing another vital part of your question, i.e. whether you could do Psychology with Science. This in India, is sadly unavailable. Psychology is considered to be a Social Science in India, thus colleges do not offer it with Science courses in the form of triple majors. It's usually done with Economics, Sociology or English. (THIS AGAIN, is if you do a B.A. A B.Sc. might be different, but those are offered generally by smaller colleges)
One thing though, as a student of humanities, I'd like to say that even if you do start with a B.A., they begin with the basics, like most Undergraduate degrees. But students who have taken Humanities in their 11th and 12th will have the upper edge in terms of scoring, if that is your criteria.

So bottom line, yes you could do Psychology with Science, but only to become a Psychiatrist in India. The psychology part, unfortunately, would start only during your MD.
If you do take up a B.A. you wouldn't have natural sciences. Though B.Sc in India does provide for Biology and Physics, those courses are very rare.
Colleges in the U.S and U.K. are far more diverse, thus you can do a combination of Psychology and other Natural Sciences. But the cost of expense and living is huge, without the availability of scholarships. But while doing your Masters, it's better if you could do it in other educationally diverse countries as they provide far more opportunities and scholarships.
I would also suggest you talk to a Career Counsellor, as he/she can clear your doubts in a swifter and more precise manner than a stranger on the internet.