Question

Part A

If you treat an electron as a classical rigid sphere with radius 1.10×10⁻¹⁷ mm and uniform density, what angular speed ωomega is necessary to produce a spin angular momentum of magnitude √3/4ℏ? Use h = 6.63×10⁻³⁴ J⋅s for Planck's constant, recalling that ℏ=h/2π, and 9.11×10⁻³¹ kg for the mass of an electron.

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

Part B

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

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

Answer 1