The concept used to solve this problem is based on the energy of a photon.
The energy of the photons is calculated using the Planck’s law when their frequency is known. The energy can also be calculated when only the wavelength is known. The wave equation is used to first calculate the frequency and then it is substituted in the Planck’s equation.
The energy of a photon can be calculated using the Planck’s equation:
Here, is the energy of photons
,
is the Planck’s constant
and
is the frequency of the photon
.
The relationship between the speed of the light, frequency and wavelength is provided by the wave equation:
Here, is the speed of light
,
is the wavelength of the photon and
is the frequency.
Part 1
It is known that the frequency of the green light is
.
According to Planck’s equation,
Substitute for
and
for Planck’s constant
.
Part 2
It is known that the wavelength of the X-ray is .
Since,
Therefore,
According to Planck’s equation,
According to wave equation,
The equation can be rewritten as:
Substitute this expression of frequency in the Planck’s equation.
Substitute for Planck’s constant
,
for
and
for
in the above expression.
Part 1
AnswerThe energy of a photon of green light is .
Green light has a frequency of about 6.00 x 10^14 s-1 . What is the energy...
a)Calculate the broadcast wavelength of the radio station 89.90 FM? b)Green light has a frequency of about 6.00×1014s−1. What is the energy of a photon of green light? c)Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1nm=10−9m. What is the energy of a photon of the X-rays?
Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1nm=10−9m. What is the energy of a photon of the X-rays? Express your answer to three significant figures and include the appropriate units.
Part A: A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=106Hz. Calculate the broadcast wavelength of the radio station 99.30 FM. Express your answer in meters to four significant figures. Part B: Green light has a frequency of about 6.00×10^14s^−1. What is the energy of a photon of green light? Part C: Hospital X-ray generators emit X rays with wavelength of about 15.0 nanometers (nmnm), where 1nm=10^−9m. What is...
To understand electromagnetic radiation and be able to perform
calculations involving wavelength, frequency, and energy.
Several properties are used to define waves. Every wave has a
wavelength, which is the distance from peak to peak or
trough to trough. Wavelength, typically given the symbol λ
(lowercase Greek "lambda"), is usually measured in meters. Every
wave also has a frequency, which is the number of
wavelengths that pass a certain point during a given period of
time. Frequency, given the symbol...
Learning Goal: To understand electromagnetic radiation and be able to perform calculations involving wavelength, frequency, and energy. Several properties are used to define waves. Every wave has a wavelength, which is the distance from peak to peak or trough to trough. Wavelength, typically given the symbol A (lowercase Greek "lambda"), is usually measured in meters. Every wave also has a frequency, which is the number of wavelengths that pass a certain point during a given period of time. Frequency, given...
Part B Green light has a frequency of about 6.00 x 1014 s1.What is the energy of a photon of green light? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Value Units Ephoton P Pearson on Inc. All rights reserved. | Terms of Use | Privacy Policy| Permissions | Contact Us <1 of 10 > Part A A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in...
Properties of Waves Part A A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=106Hz and 1Hz=1s−1. Calculate the broadcast wavelength of the radio station 106.3 FM. Express your answer to four significant figures and include the appropriate units. Part B Green light has a frequency of about 6.00×1014s−1. What is the energy of a photon of green light? Express your answer to three significant figures and include the appropriate...
.1. Ultraviolet radiation has a frequency of 6.8 x 101 1/3. Calculate the energy, in joules, of the photon. 2. Find the energy, in joules per photon, of microwave radiation with a frequency of 7.91 x 10101/s. 3. A sodium vapor lamp emits light photons with a wavelength of 5.89 x 10m. What is the energy of these photons? 4. One of the electron transitions in a hydrogen atom produces infrared light with a wavelength of 7.464x 10m. What amount of energy causes...
8. C alculate the frequency of green light that has a wavelength of 531 nm? 9. Calculate the wavelength of blue light that has a frequency of 6.68 x 10" s 10. Calculate the energy of a photon with a frequency of 7.00 x 1014s I1. Calculate the frequency of a photon if the energy is 7.26 x 1019 J 12. Calculate the wavelength (in nm) of a photon if the energy is 7.26 x 10-19 J.
A green laser pointer produces light with a frequency of 5.85 x 1014 s-1. What is the wavelength of this light in nanometers (1 nm 10-9 m)?