Calculate the energy of photon having: (a) a wavelength of 5.42 × 10 − 6 m ; (b) a frequency of 6.69 × 10 13 s − 1 ; (c) a wavelength of 3.27 nm ; (d) a frequency of 106.5 MHz ( 1Hz = 1 hertz = 1 s − 1 ; this unit is often used for frequency); (e) a wavenumber of 4321 cm − 1 .
Calculate the energy of photon having: (a) a wavelength of 5.42 × 10 − 6 m ; (b) a frequency of 6.69 × 10 13 s − 1 ; (c) a wavelength of 3.27 nm ; (d) a frequency of 106.5 MHz ( 1Hz = 1 hertz = 1 s − 1 ; this unit is often used for frequency); (e) a wavenumber of 4321 cm − 1 .
Solution Summary: The author explains how the energy of a photon of given wavelength is calculated using the Planck's law.
Calculate the energy of photon having: (a) a wavelength of
5.42
×
10
−
6
m
; (b) a frequency of
6.69
×
10
13
s
−
1
; (c) a wavelength of
3.27
nm
; (d) a frequency of
106.5
MHz
(
1Hz
=
1
hertz
=
1
s
−
1
; this unit is often used for frequency); (e) a wavenumber of
4321
cm
−
1
.
Consider the possible transitions between energy levels in a He+ ion. For which of these transitions in He+ will the wavelength of the emitted photon be nearly the same as one of the wavelengths emitted by excited H atoms? (i) n = 2 to n = 1; (ii) n = 3 to n = 2; (iii) n = 4 to n = 3; (iv) n = 4 to n = 2; (v) more than one of these; (vi) none of these.
Assume that for ¹H35 Cl molecule the rotational quantum number
J is 11 and vibrational quantum number n = 0. The isotopic
mass of ¹H atom is 1.0078 amu and the isotopic mass of 35 C1
atom is 34.9688 amu, k = 516 N · m¯¹, and x = 127.5 pm.
Part E
Calculate the period for vibration.
Express your answer in seconds to three significant figures.
Tvibrational
=
Part F
Submit Previous Answers
1.12x10-14 s
Correct
Correct answer is shown. Your answer 1.1181.10-¹4 = 1.1181x10-14s was either rounded differently or used a different number of significant figures
than required for this part.
Calculate the period for rotation.
Express your answer in seconds to four significant figures.
Trotational =
ΑΣΦ
W ?
S
Calculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does
this value compare with the momentum of a free electron that has been accelerated
through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10"
kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10° m.s'; 1.00 J= 1.00
VC; h = 6.626 x 10"J.s. The various energy units are: 1 J=1 kg.m's", 1.00 cV =1VC,
leV = 1.602 x 10"J, 1J=6.242 x 10" eV, etc.).
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The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY