Interestingly I myself am a Physics graduate and one of the most asked question to me is that why did i shift froma pure science stream to management. My simple answer is that I liked working in the corporate environment.
Simple thing is that there's no differentiation on whether you're from any stream if you are capable of proving yourself then the world is your playground.
This goes well for management colleges as well, no matter your subjects, projects, internships, you are judgeged by what do you present to the table of the college/recruiter.
the opportunities are immense and you shouldn't be afraid of doing what you like to do.

Masters in Business Administration (MBA)
Graduates in any subjects, whether science, arts or commerce, can pursue management courses provided they clear the entrance test, group discussion and interview. There is no dearth of jobs for them in the field of management, sales-marketing, finance, banking, administration, and business, if they pass out from some reputed institutes.
In my opinion that wuld be awesome Moreover any idea is good if you have interest in the field. If you have interest in MBA go for it.
MBA is always good and it gives you a better career opportunity. Doing MBA after any Bachelor degree gives you a better career perspective. Before taking admission in any college do a but research about the college. The placements of college should be very good. I will suggest you to prepare for MAT, CAT, SNAP etc. Or u can appear fr exams to get into ISI, IIFT,etc as these institute are also market and finance based.

Thanks,
Azim Musa Shaikh