Question

Use the Balmer equation (8.4) to determine:

(a) The frequency, in s⁻¹, of the radiation corresponding to n = 5.
(b) The wavelength, in nanometers, of the line in the Balmer series corresponding to n = 7.
(c) The value of n corresponding to the Balmer series line at 380 nm. (Reference to equation 8.4): 1.6 „) R:( ).

Answer 1

Four Balmer series lines are visible, and infinitely many UV lines exist. The Balmer formula predicts electromagnetic radiation frequencies and wavelengths emitted during transitions between energy levels in hydrogen atoms. Option B,C are correct.

Step-by-step explanation:

The Balmer series describes the lines in the emission spectrum of hydrogen when an electron transitions from a higher energy level (n > 2) to n = 2. When electrons fall from higher energy levels, the energy difference between these levels is emitted as electromagnetic radiation which can be observed as spectral lines. The Balmer formula is used to predict the wavelengths and frequencies of these spectral lines.

(b) In the Balmer series, visible spectral lines correspond to electron transitions from n = 3, 4, 5, 6 to n = 2. Four visible Balmer series lines correspond to these transitions.

(c) The ultraviolet (UV) Balmer series lines appear for transitions from higher energy levels (n > 6) to n = 2. There are infinitely many UV lines, but they become increasingly closer together and eventually converge.

The first line in the UV part of the spectrum for the Balmer series is the transition from n = 3., Balmer series lines can also be determined for other values of the principal quantum number n, such as n = 7 or n = 8.