Orbitals

What are the allowed values for the angular momentum quantum number l?

0, 1,...,n−1

The de Broglie equation relates the wavelength and the kinetic energy of particles. What is the wavelength, in nanometers, associated with an electron with a speed of 3.42 × 106 m/s? The mass of an electron is 9.109 × 10-31 kg.

0.213 nm

How many s orbitals exist in one energy level of an atom?

1

What are the allowed values for the principal quantum number n?

1,2,3,...

The de Broglie equation relates the wavelength and the kinetic energy of particles. What is the mass of a particle with a speed of 2.34 × 106 m/s with a de Broglie wavelength of 2.25 × 10-9 m?

1.26x10^-31 kg

What is the wavelength of light absorbed when an electron is promoted from the n = 1 level to the n = 2 level?

121 nm

Which choice ranks the given orbitals in order of increasing size?

1s<2s<3s

How many orbitals can have quantum numbers of n = 3 and ml = −1?

2

Which orbital is indicated by the quantum numbers n = 2, l = 1, ml = 0?

2p

Which choice ranks the given orbitals in order of increasing size?

2p<3p<4p

How many orbitals can have quantum numbers of n = 2 and l = 1?

3

How many p orbitals exist in one energy level (n ≥ 2) of an atom?

3

Which orbital is indicated by the quantum numbers n = 3, l = 2, ml = −1?

3d

Light with a wavelength of 97.3 nm is absorbed by an electron in the n = 1 level. To what level is it promoted?

4

What is the wavelength of light emitted when an electron relaxes from the n = 5 level to the n = 2 level?

434 nm

How many d orbitals exist in one energy level (n ≥ 3) of an atom?

5

How many f orbitals exist in one energy level (n ≥ 4) of an atom?

7

Which one of the following is an allowed set of quantum numbers?

n = 1, l = 0, ml = 0

Which one of the following is a disallowed set of quantum numbers?

n = 2, l = 0, ml = −1

Which transition of an electron in the hydrogen atom will result in the emission of light?

n = 3 to n = 1

Which one of the following is an allowed set of quantum numbers?

n = 3, l = 2, ml = −1

Which transition emits light with the highest energy?

n=2 to n=1

Which transition of an electron in the hydrogen atom will result in the absorption of light?

n=2 to n=5

Which transition of an electron in the hydrogen atom will result in the emission of light?

n=3 to n=1

Light with a wavelength of 1282 nm is emitted by an electron, which relaxes to the n = 3 level. In which level did it start?

n=5

Which transition emits the shortest wavelength of light?

n=5 to n=1

What are the allowed values for the magnetic quantum number ml?

−l...0...+l