Question

In: Physics

A) If you treat an electron as a classical rigid sphere with radius 1.60×10−17 mm and uniform...

A)

If you treat an electron as a classical rigid sphere with radius 1.60×10⁻¹⁷ mm and uniform density, what angular speed ωωomega is necessary to produce a spin angular momentum of magnitude 3/4−−−√ℏ3/4ℏ? Use hhh = 6.63×10⁻³⁴ J⋅sJ⋅s for Planck's constant, recalling that ℏ=h/2πℏ=h/2π, and 9.11×10⁻³¹ kgkg for the mass of an electron.

Express your answer in radians per second to three significant figures.

B)

Use the equation v=rωv=rω relating velocity to radius and angular velocity together with the result of Part A to calculate the speed vvv of a point at the electron's equator.

C)

Consider an electron in the state n=4n=4, l=3l=3, m=2m=2, s=1/2s=1/2.

- In what shell is this electron located?

- In what subshell is this electron located?

-How many other electrons could occupy the same subshell as this electron?

-What is the orbital angular momentum LLL of this electron?

-What is the z component of the orbital angular momentum of this electron, Lz?

- What is the z component of the spin angular momentum of this electron, Sz?

Expert Solution

genius_generous answered 2 years ago

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