Energy levels and hydrogen spectrum - One Line Questions
1.
What is the energy of the ground state of the hydrogen atom according to the Bohr model? —
-13.6 eV
2.
What is the energy of the electron in the first excited state of hydrogen atom? —
-3.4 eV
3.
The energy of the second excited state (n=3) of hydrogen atom is: —
-1.51 eV
4.
The energy levels of a hydrogen-like atom are given by En = -13.6 * Z^2 / n^2 eV, where Z is the atomic number. For Helium ion (He+), Z is: —
2
5.
If the energy of an electron in a hydrogen atom is -0.85 eV, it is in the energy level n equal to: —
4
6.
The ratio of the radius of the first Bohr orbit to the radius of the second Bohr orbit in hydrogen atom is: —
1:4
7.
Rydberg's formula for the wavelength of spectral lines in hydrogen is given by 1/λ = R * (1/n_f^2 - 1/n_i^2), where R is the Rydberg constant. The value of R is approximately: —
1.1 x 10^7 m^-1
8.
The energy of the photon emitted when an electron transitions from n=3 to n=1 in a hydrogen atom is: —
12.09 eV
9.
The energy of a photon emitted during a transition from n=2 to n=1 in hydrogen atom is approximately: —
10.2 eV
10.
What is the energy difference between the n=2 and n=1 levels in a hydrogen atom? —
10.2 eV
11.
The work done to move an electron from n=1 to n=2 in a hydrogen atom is: —
10.2 eV
12.
When an electron in a hydrogen atom is excited from n=1 to n=infinity, the energy absorbed is: —
13.6 eV
13.
The maximum number of spectral lines that can be emitted by a hydrogen atom when an electron is excited to the n=4 level is: —
6
14.
The maximum number of photons emitted when an electron de-excites from n=4 to n=1 in a hydrogen atom is: —
6
15.
The number of spectral lines emitted when an electron jumps from n=5 to n=1 in a hydrogen atom is: —
10
16.
The Bohr radius (a_0) is approximately: —
5.3 x 10^-11 m
17.
What is the wavelength of the photon emitted when an electron in a hydrogen atom transitions from n=3 to n=2? —
656 nm
18.
The radius of the nth Bohr orbit is given by r_n = a_0 * n^2 / Z, where a_0 is the Bohr radius. For hydrogen atom, Z=1. The radius of the 3rd orbit is: —
9a_0
19.
If an electron in a hydrogen atom moves from a higher energy level to a lower energy level, it: —
Emits a photon
20.
Which quantum number determines the energy level of an electron in a hydrogen atom? —
Principal quantum number (n)
21.
The energy of an electron in the nth orbit of a hydrogen atom is given by the formula: —
En = -13.6 / n eV
22.
The radius of the Bohr orbit is quantized because: —
Angular momentum is quantized
23.
The energy required to remove the electron from the n=1 state of hydrogen atom is called: —
Both (b) and (c)
24.
The frequency of emitted radiation when an electron transitions from a higher energy state E_i to a lower energy state E_f is given by: —
f = (E_i - E_f) / h
25.
What is the angular momentum of an electron in the ground state (n=1) of a hydrogen atom? —
h/2π
26.
The Balmer series of hydrogen spectrum lies in which region of the electromagnetic spectrum? —
Visible
27.
Which series in the hydrogen spectrum lies in the ultraviolet region? —
Lyman series
28.
Transitions from n=3 to n=2 in hydrogen atom result in a spectral line belonging to which series? —
Balmer series
29.
If the electron in a hydrogen atom jumps from n=4 to n=1, it emits a photon of energy corresponding to which series? —
Lyman series
30.
In the hydrogen spectrum, the transition from n=5 to n=2 gives rise to a spectral line in which series? —
Balmer series
31.
In the hydrogen spectrum, the transition from n=6 to n=2 gives a spectral line belonging to which series? —
Balmer series
32.
Which of the following statements about the hydrogen spectrum is incorrect? —
Paschen series is in visible region.
33.
The Bohr model is applicable to: —
Single-electron atoms/ions
34.
The radius of the nth orbit of a hydrogen atom is proportional to: —
n^2
35.
The energy of the electron in the nth orbit of hydrogen atom is proportional to: —
1/n^2
36.
The spectral lines in the Lyman series of hydrogen correspond to transitions from higher energy levels to which level? —
n = 1
37.
The Paschen series of hydrogen spectrum corresponds to transitions ending at which principal quantum number? —
n = 3
38.
The spectral lines in the Brackett series correspond to transitions ending at which principal quantum number? —
n = 4
39.
The Pfund series in the hydrogen spectrum corresponds to transitions ending at which principal quantum number? —
n = 5
40.
The spectral lines of the Humphreys series correspond to transitions ending at which principal quantum number? —
n = 6
41.
The energy difference between adjacent energy levels in a hydrogen atom decreases as: —
n increases
42.
The ionization energy of hydrogen atom is the energy required to excite the electron from: —
n=1 to n=infinity
43.
The longest wavelength line in the Lyman series is obtained when the electron transitions from: —
n=2 to n=1
44.
Which of the following transitions in a hydrogen atom will emit the highest energy photon? —
n=2 to n=1
45.
The shortest wavelength line in the Balmer series is obtained when the electron transitions from: —
n=infinity to n=2
46.
The longest wavelength line in the Balmer series corresponds to the transition from: —
n=3 to n=2
47.
The shortest wavelength in the Paschen series of the hydrogen spectrum corresponds to the transition from: —
n=infinity to n=3
48.
The energy levels of a hydrogen atom are discrete because: —
The electron's de Broglie wavelength fits an integer number of times around the orbit
49.
The spectral lines of the Brackett series occur in which region of the electromagnetic spectrum? —
Infrared