Question

Atomic hydrogen produces a well-known series of spectral lines
in several regions of the electromagnetic spectrum. Each series
fits the Rydberg equation with its own particular *n*_{1
value. Calculate the value of n1 that would
produce a series of lines in which the highest energy line has a
wavelength of 365 nm.}

Answer #1

365nm = 365*10^-7cm

RH = 109678cm^-1

n2 = infinate

1/ = RH(n1^2-1/n2^2)

1/365*10^-7 = 109678(1/n1^2 -1/^2)

1/365*10^-7 = 109678(1/n1^2 -0)

1/n1^2 = 1/365*10^-7 *109678

1/n1^2 = 0.25

n1^2 = 1/0.25

n1^2 = 4

n1 = 2 (Balmer series) visible region >>>>answer

Hydrogen exhibits several series of line spectra in different
spectral regions. For example the Lyman series (nf = 1 in
Balmer-Rydberg equation) occurs in the ultraviolet region while the
Balmer (nf = 2) series occurs in the visible range and the Paschen
(nf = 3), Brackett (nf = 4) and Pfund ( nf = 5) series all occur in
the infrared range. What is the shortest-wavelength (in nm) in the
Brackett series?

(b). Determine the (i) longest and (ii) shortest wavelength
lines (in nanometers) in the Paschen series of the hydrogen
spectrum. In which region of the spectrum is the shortest-
wavelength line? (c) Using the Balmer-Rydberg equation, calculate
the value of n corresponding to the violet emission line
(wavelength = 434.0 nm) in the Balmer series of the hydrogen
emission spectrum.

One series of lines in the hydrogen spectrum is caused by
emission of energy accompanying the fall of an electron from outer
shells to the fourth shell. The lines can be calculated using the
Balmer-Rydberg equation:
1λ=R∞[1m2−1n2]
where m=4, R∞ = 1.097×10−2nm−1, and nis an
integer greater than 4.
Part A
Calculate the wavelengths in nanometers of the first two lines
in the series.
Express your answers using four significant figures separated by
a comma.
Part B
Calculate the energies...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 42 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago