Respuesta :
Answer:
9.49 x 10⁻⁸ m
Explanation:
Data given:
excitation of electron = n-5 to n-1
wavelength of light = ?
Solution:
As the transition of electron take place from one level to other so the problem will be solved by using Rydberg's equation
Rydberg's equation
1/λ = R [1/n²(final) - 1/n²(initial)]
where
R = Rydberg's constant = 1.0974 x 10⁷ m⁻¹
λ = wavelength
n(final) = the final energy level
n(initial) = the initial energy level
Now
Put the values in Rydberg's equation
1/λ = R [1/n²(final) - 1/n²(initial)]
1/λ = 1.0974 x 10⁷ m⁻¹ (1/1²- 1/5²)
1/λ = 1.0974 x 10⁷ m⁻¹ (1/1 - 1/25)
1/λ = 1.0974 x 10⁷ m⁻¹ (1 - 0.04)
1/λ = 1.0974 x 10⁷ m⁻¹ (0.96)
1/λ = 1.0535 x 10⁷ m⁻¹
λ = 1 / 1.0535 x 10⁷ m⁻¹
λ = 9.49 x 10⁻⁸ m
the wavelength of light that is emitted = 9.49 x 10⁻⁸ m
