Question

calculate what will be the approximate quantum number n for an electron in an orbit of radius 0.1nm​

Answer 1

Answer:

the approximate quantum number will be 300

Answer 2

The approximate quantum number n for an electron in an orbit of radius 0.1 nm is 1.

We know that Bohr radius is given as-

r = 0.529 n² × 10⁻¹⁰ m where n is the principle quantum number.

By substituting the value we get

0.1 × 10⁻⁹ = 0.529 n² × 10⁻¹⁰

n² = 0.1 × 10⁻⁹ / 0.529 × 10⁻¹⁰

n² = 1/0.529

n² = 1.890

n = 1.374 ≈ 1