Question

bohrs radius of a shell in H- atom is 8.46A0.the number of electrons in this shell are

Answer 1

Given:

• Bohr's radius for nth shell (r) = 8.46 A⁰
• Bohr's radius for ground state (r₀) = 0.53 A⁰

To find:

The number of electrons that can be accommodated in the nth shell

Solution:

• The formula for the Bohr's radius in nth shell for hydrogen atom is                      r = r₀*n² ⇒ n = √(r/r₀) = √(8.46/0.53) = √15.96 ≅ 4
• The number of electrons that can be accommodated in the nth shell is equal to 2*n². So, for n = 4, number of electrons = 2*4² = 32

Answer:

The number of electrons that can be accommodated in the nth shell is equal to 32.