What is the velocity of an electron in a benzene molecule?

[Anochaa]

Homework Statement

An electron in a benzene molecule makes a reasonable approximation to an electron
confined to a hoop. If the radius of the benzene molecule is about 5x10-10 m, and the
electron has the lowest allowed angular momentum of h/2π, what is the velocity of the
electron? (You may wish to recall the electron mass is 9x10-31 kg, and angular
momentum is L = rp = rmv.)

Homework Equations

I'm not entirely sure.

The Attempt at a Solution

I'm in a really poorly run workshop based class, so we have no textbook and the packets we were given are completely not at all helpful here.

 

[zachzach]

The two equations to use are in the problem.

 

[Anochaa]

What do you use for n though?

 

[ideasrule]

Where do you see n?

 

[Anochaa]

"angular momentum of h/2π"

 

[zachzach]

What do you use for n though?

Are you sure that is an n? I believe it is a pi.

 

[Anochaa]

Oooh, my bad. Sorry! That completely threw me off - it looks like an n in the PDF. Now I just feel dumb, haha.

 

[ideasrule]

It definitely is pi.