What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level n 4 to an energy level with n 2?

What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level n 4 to an energy level with n 2?

Text Solution

Solution : According to Rydberg equation, <br> `1/lambda = 109678 (1/(n_1^2) - 1/(n_2^2)) cm^(-1)` <br> Here `n_1 = 1, n_2 = 4` <br> `:. 1/lambda = 109678(1/(1^2) - 1/(4^2)) cm^(-1)` <br> `= 109678 xx 15/16 cm^(-1)` <br> or `lambda = (16)/(109678 xx 15 cm^(-1)) = 9.72 xx 10^(-6) cm` <br> `= 97.2 xx 10^(-9) m` <br> `= 97.2 nm`.

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