Part a: determine the wavelength of photons that can be emitted
from of the n=4 state of a hydrogen atom to the n=1 state. give
answer in nm .
part b: determine the wavelength of photons that can it be
emitted from of the n=4 state of a hydrogen atom to the n=2
state. give answer in nm .
part c: determine the wavelength of photons that can be
emitted from of the n=4 state of a hydrogen atom to the n=3 state.
give answer in nm .

A  λ = 97.23 nm

, B)   λ = 486.2 nm

, C)  λ = 53326 nm

Explanation:

With that problem let's use the Bohr model equation for the hydrogen atom

          = -k e² /2a₀  1/n²

For a transition between two states we have

          -   = -k e² /2a₀ (1/  ² - 1 / n₀²)

Now this energy is given by the Planck equation

         E = h f

And the speed of light is

         c = λ f

Let's replace

      h c / λ = - k e² /2a₀ (1 / ² - 1 / no₀²)

      1 /  λ = - k e² /2a₀ hc (1 / ² -1 / n₀²)

Where the constants are the Rydberg constant = 1.097 10⁷ m⁻¹

        1 /  λ = (1 / n₀² - 1 / nf²)

Now we can substitute the given values

Part A

 Initial state n₀ = 1 to the final state = 4

        1 /  λ = 1.097 10⁷ (1/1 - 1/4²)

         1 /  λ = 1.0284 10⁷ m⁻¹

          λ = 9.723 10⁻⁸ m

We reduce to nm

         λ = 9.723 10⁻⁸ m (10⁹ nm / 1m)

         λ = 97.23 nm

Part B

Initial state n₀ = 2 final state = 4

       1 /  λ = 1.097 10⁷ (1/2² - 1/4²)

       1 /  λ = 0.2056 10⁻⁷ m

        λ = 486.2 nm

Part C

Initial state n₀ = 3

      1 /  λ = 1,097 10⁷ (1/3² - 1/4²)

       1 /  λ = 5.3326 10⁵ m⁻¹

        λ = 5.3326 10-5 m

        λ = 53326 nm

b

explanation:

bc its just b

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..