Consider a thin spherical shell located between r = 0.49a₀ and 0.51a₀. For the n = 2, l = 1 state of hydrogen, find the probability for the electron to be found in a small volume element that subtends a polar angle of 0.11° and an azimuthal angle of 0.25° if the center of the volume element is located at: θ = 50°, ϕ = 20°.
Probability when n = 2, l = 1, m = 0
Probability when n = 2, l = 1, m = ±1