Question

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:

1*λ*=*R*∞[1*m*2−1*n*2]

where *m*=4, R∞ = 1.097×10−2nm−1, and *n*is 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 in kilojoules per mole of the first two lines in the series.

Express your answers using four significant figures separated by a comma.

Answer #1

Part A

For the first line

For the second line

Part B

For the first line

This is for one atom. For one mole of atoms

Convert the unit from J to kJ

For the second line

This is for one atom. For one mole of atoms

Convert the unit from J to kJ

(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.

The human eye can readily detect wavelengths from about 400 nm
to 700 nm. You may want to review (Page) . Part A If white light
illuminates a diffraction grating having 870 lines/mm , over what
range of angles does the visible m = 1 spectrum extend? Express
your answers using three significant figures separated by a
comma.

11.A source produces first-order lines when incident normally on
a 9200 slits/cm diffraction grating at angles θ1 = 28.8∘, θ2 =
36.7∘, θ3 = 38.6∘, and θ4 = 41.2∘.
Part A What are the wavelengths? Express your answers using
three significant figures separated by commas.
13. At what angle should the axes of two Polaroids be placed so
as to reduce the intensity of the incident unpolarized light to
1/4
Express your answer using two significant figures.

The wavelengths of spectral lines depends to some extent on the
mass of the nucleus. This occurs because the nucleus is not an
infinitely heavy mass that remains stationary. In fact, in reality,
both the nucleus and the electron orbit about their common center
of mass. It can be shown that a system of this type is entirely
equivalent to a single object with a mass μμ (called the
Reduced Mass) that orbits about the location of
the nucleus at...

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