A small laser emits light at power $5\mathrm{.}00$mW and frequency $428$THz$.$ The laser beam is narrowed so that its diameter $(1400$ nm$)$ matches the diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density of $5\mathrm{.}00$ g$/$cm$^3.$ Take the speed of light to be $3\mathrm{.}00$ x $10^8$ m$/$s$.$ Answer the following questions:

What is the average beam intensity at the sphere's location?

What is the average radiation pressure on the sphere?

What is the magnitude of the corresponding force on the sphere?

What is the magnitude of the acceleration that force alone gives the sphere?

If the sphere were reflective, what would happen to the force on the sphere $($bigger$,$ smaller, same$)?$

What color is the beam?