Is a Muslim sinful if, in his studies or exams, he answers with "the conservation of energy and the preservation of charge"?

It is permissible for a student to answer according to what is prescribed in the curriculum, even if it contradicts their correct belief, because the question in the exam is about the prescribed curriculum, not about the student's belief. This is confirmed in the laws of conservation of charge and conservation of energy, as they can be understood in a way that does not contradict Islamic law, which is the overall constancy of the amount of energy while it transforms from one form to another.