An electron in a hydrogen atom has a de Broglie wavelength of 4.51x10^-12 m. What is its velocity relative to the speed light in terms of percentage? (speed of light = 3.00x10⁸ m/s, mass electron = 9.11x10 ^-31 kg)

Calculate the uncertainty in the velocity for a neutron if the uncertainty in its position is 605 pm.

Using Heisenberg's uncertainty principle, calculate the approximate uncertainty in the position of an electron with the uncertainty in the speed of 4.8x10³ m/s . (mass electron = 9.11 x 10^-31 kg).

Rank the following transitions from largest to smallest frequency

I. n = 8 to n = 5

II. n = 1 to n = 4

III. n = 3 to n = 6

IV. n = 6 to n = 7

For the following electronic transitions in a hydrogen atom, identify whether each corresponds to emission or absorption of energy.

a. n = 4 → n = 6
b. n = 5 → n = 2
c. n = 2 → n = 3

Find the energy (in J) of an electron in the hydrogen atom given each of the following scenarios:

(a) n = 4

(b) n = 8

Determine the wavelength (in m) of the radiation emitted when the electron moves from (b) to (a).

The following statements summarize the experiments about quantum mechanics. Identify the incorrect statement.

Which emission line is part of the Balmer series of lines for a hydrogen atom spectrum?

a. n₅ → n₂

b. n₂ → n₄

c. n₃ → n₅

d. n₁ → n₂

e. n₃ → n₂

What is the wavelength in nanometers of the spectral line for hydrogen when an electron transitions from n_f = 5 to n_i = 2 using the Balmer equation? What is the energy of the radiation corresponding to this line in kilojoules per mole?

Determine the transitions of each wavelength observed from the atomic emission spectrum of hydrogen 

92.63 nm, 94.98 nm, 121.6 nm

Which of the following statement is correct?

a. The shape of the orbital is determined by the quantum number ml.

b. The spin of the electron of an orbital is determined by the quantum number ms. 

c. The orientation in space of the orbital is determined by the quantum number l.  

d. The size of the orbital is determined by the principal quantum number n.