Question

Find the change in the angular momentum of the electron when it jumps from the fourth orbit to the first orbit in a hydrogen atom.

Answer 1

Answer:

∆L = 2.107x10⁻³⁴ J.s

Explanation:

Angular momentum of electron in nth orbit of hydrogen is given by -

L = nh / 2π

For 1st orbit,

L1 = (1 × 6.62×10⁻³⁴) / (2 × 3.142)

L1 = 1.053×10⁻³⁴ J.s

For 3rd orbit,

L3 = (3 × 6.62×10⁻³⁴) / (2 × 3.142)

L3 = 3.16×10⁻³⁴ J.s

When electron jumps from 3rd orbit to 1st orbit -

∆L = L3 - L1

∆L = 3.16×10⁻³⁴ - 1.053×10⁻³⁴

∆L = 2.107x10⁻³⁴ J.s