Question

Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ₁ : λ₂ emitted in the two cases respectively is ______.

Options

• `27/5`

• `7/5`

• `27/20`

• `20/7`

Answer 1

Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ₁ : λ₂ emitted in the two cases respectively is `underline(27/5)`.

Explanation:

`1/lambda_1=R(1/2^2-1/3^2)=R(1/4-1/9)=R(5/36)`

`1/lambda_2=R(1-1/2^2)=R(3/4)`

`lambda_1/lambda_2=3/4xx36/5=27/5`