Solution: From the previous problem, the energy of a single 400 nm photon is
3.1 eV
. One must therefore reduce the effective work function to 3.1 eV to allow the light to liberate an electron.
What is energy and frequency of wave whose wavelength is 400 nm?
Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm. Violet light has a wavelength of ~400 nm, and a frequency of
~7.5*10
14
Hz
.
What will be the energy of photon having wavelength 400 nm?
E=hc/lambda. Multiply the obtained value of ‘E’ with
1.6 ×10^-19
. That’s it.
What is the wave number equivalent of 400 nm wavelength?
Thus, the wave number will be equal to.
(1) 2.5 x 104 cm-1
.
What is the energy of a photon of wavelength 450 nm?
4×10−19J
.
What is the energy carried by a photon?
Photon energy is the energy carried by
a single photon
. The amount of energy is directly proportional to the photon’s electromagnetic frequency and thus, equivalently, is inversely proportional to the wavelength. The higher the photon’s frequency, the higher its energy.
What is the momentum of a 500 nm photon?
=
1.33×10-27kg-ms
.
What color has the highest frequency?
Violet
waves have the highest frequencies.
Which two wavelengths have the highest frequencies?
Gamma rays
have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.
What is the relationship between wavelength and frequency?
Frequency and wavelength are
inversely proportional to each other
. The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one-half the wavelength. For this reason, the wavelength ratio is the inverse of the frequency ratio.
How do you convert wavelength to NM?
Multiply the wave’s wavelength by one billion
, which is the number of nanometers in a meter. With this example, multiply 2.82 x 10^-7 by 10^9 to get 282, the wavelength in nanometers.
What is wavelength and wavenumber?
Wavelength vs Wavenumber
Wavelength is the distance between two consecutive points which are in the same phase.
Wavenumber is the number of wavelengths in a given distance along the propagation of the wave
.
How do you convert Wavenumbers to wavelength?
To convert an angular wavenumber to a wavelength,
divide 2π by the angular wavenumber
.
What is the frequency of a light wave with a wavelength of 450 nm is Hertz?
The frequency of blue light that has a wavelength of 450 nm is
6.7×1014 6.7 × 10 14 Hz
.
What is the energy E of a photon of blue light that has a wavelength of 450 nm?
What is the energy of a photon of blue light (λ = 450 nm) and of a photon of red light (λ = 700 nm) in units of eV = 1.6*10
– 19
J? Solution:
E = hc/λ
.
What is the rest mass of a photon?
The photons are said to be chargeless and massless particles that travel at the speed of light. So the rest mass of a photon is taken to be
zero
. This can be proved from Einstein’s special theory of relativity. Hence the photons have a rest mass of zero.
