Question

(a)What equation gives the wavelength of a particle? (b) What equation gives the energy of the n=4 level of the hydrogen atom? In your equation write RH as RH. (c) What is the equation for the frequency of light when the Hydrogen atom makes a transition from n=4 to n=2? Evaluate everything but RH and h. Thank you so much!

Answer 1

(a) de Broglie equation

λ = h/p

where, λ stands for the wavelength of the particle, h stands for Planck's Constant and p stands for the momentum of the particle.

But p = √(2Em). We can now substitute that into the de Broglie equation:

λ = h/√(2Em).

(b) Rydbergs equation to calculate energy. Brackett Series (Bohr Theory of Hydrogen model)

where, R= Rydberg Constant 1.0974x10⁷ m^-1;   λ is the wavelength; n_i is equal to the energy level.

To calculate energy we can adjust R by multipling by h (planks constant) and c (speed of light).

Now we have Rydbergs equation to calculate energy.

R_E= -2.178 x 10^-18J (it is negative because energy is being emitted)

(c) Rydbergs equation (Balmer Series)

Since,   

To calculate frequency we can adjust R_H by multipling by c (speed of light).