Write two examples(mathematical expression) of physical laws that change inversely with the square of the distance.

Both gravitational and electric forces follow the inverse-square law.

For gravitational force:

F = GMm/r²

For electric force:

F = kQq/r²

Both expressions for the force F contain 1/r², which means F falls off with the square of the distance.

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.