Calculate the wavelength of light emitted when each of the following transitions occur in the hydrogen atom.

(a) n = 5 n = 4
_________nm
(b) n = 5 n = 3
_____________ nm
(c) n = 5 n = 2
__________ nm

Calculate the maximum wavelength of light capable of removing an electron for a hydrogen atom from the energy state characterized by the following.
n = 2
_________nm
n = 4
_______ nm

how do u do this?

http://en.wikipedia.org/wiki/Rydberg_formula

To calculate the wavelength of light emitted during a transition in the hydrogen atom, you can use the equation:

1/λ = R(1/n₁² - 1/n₂²)

Where:
- λ is the wavelength of light emitted
- R is the Rydberg constant (approximately 1.097 × 10^7 m⁻¹)
- n₁ is the initial energy level (or principal quantum number) of the electron
- n₂ is the final energy level (or principal quantum number) of the electron

(a) n = 5 to n = 4 transition:
Plug in the values n₁ = 5 and n₂ = 4 into the equation:
1/λ = (1.097 × 10^7 m⁻¹) × (1/5² - 1/4²)
Simplify the equation and calculate the wavelength (λ) in nm (nanometers).

(b) n = 5 to n = 3 transition:
Following the same steps as in (a), plug in n₁ = 5 and n₂ = 3 into the equation:
1/λ = (1.097 × 10^7 m⁻¹) × (1/5² - 1/3²)
Simplify the equation and calculate the wavelength (λ) in nm.

(c) n = 5 to n = 2 transition:
Again, plug in n₁ = 5 and n₂ = 2 into the equation:
1/λ = (1.097 × 10^7 m⁻¹) × (1/5² - 1/2²)
Simplify the equation and calculate the wavelength (λ) in nm.

To calculate the maximum wavelength of light capable of removing an electron from a specific energy state in the hydrogen atom, you can use the equation:

1/λ_max = R(1/n)

Where:
- λ_max is the maximum wavelength of light required to remove the electron
- R is the Rydberg constant
- n is the energy level (or principal quantum number) of the electron

For example:
For the n = 2 energy state:
Plug in n = 2 into the equation:
1/λ_max = (1.097 × 10^7 m⁻¹) × (1/2)
Simplify the equation and calculate the maximum wavelength (λ_max) in nm.

Similarly, for the n = 4 energy state:
Plug in n = 4 into the equation:
1/λ_max = (1.097 × 10^7 m⁻¹) × (1/4)
Simplify the equation and calculate the maximum wavelength (λ_max) in nm.

Remember to convert the wavelengths from meters to nanometers by multiplying by 10^9.