State and prove prism formula.

Define refractive index of a transparent medium. A ray of light passes through a triangular prism. Plot a graph showing the variation of angle of deviation with the angle of incidence. Hence derive prism formula.

State and prove Baye's theorem.

State and prove theorem of parallel axes.

State and prove theorem of perpendicular axes.

State and prove the commutative property of vector addition.

State and prove Hooke's law.

State and prove Bernoulli's theorem.