Answer
Verified
386.7k+ views
Hint: Photon is a component of the electromagnetic wave and possesses all its properties and behaves like it. Using them we can relate it to the physical quantities and find the value of its effective mass.
Complete step-by-step answer:
A photon’s energy spectrum is line and discrete and it is the component of gamma rays.
A Photon has zero mass but since it can do work it is done in terms of kinetic energy. As it possesses kinetic energy, using Planck’s constant, speed of light and wavelength we can obtain a relation for calculating the effective mass.
The energy is in terms of kinetic energy for a photon which is given by,
$K = \dfrac{1}{2}m{v^2}$
Here, m is the mass and v is the speed of the particle,
This energy is also
$\dfrac{{ch}}{\lambda }$
Where, h is the Planck’s constant
Since c is considered as speed of light, on substitution, we get
$m = \dfrac{{2h}}{{c\lambda }}$
Hence, this is the effective mass of a photon of wavelength λ.
Note: For the wavelength of 1nm, the effective mass using the de-broglie formula
$
\lambda = \dfrac{h}{{mv}} \\
m = \dfrac{{6.6 \times {{10}^{ - 34}}}}{{{{10}^{ - 9}} \times 3 \times {{10}^8}}} = 2.2 \times {10^{ - 33}}kg \\
$
The photons are used in the study of quantum mechanics and used in optical imaging and communication in quantum cryptography. It has applications in photochemistry, microscopy and also to measure molecular distances.
Complete step-by-step answer:
A photon’s energy spectrum is line and discrete and it is the component of gamma rays.
A Photon has zero mass but since it can do work it is done in terms of kinetic energy. As it possesses kinetic energy, using Planck’s constant, speed of light and wavelength we can obtain a relation for calculating the effective mass.
The energy is in terms of kinetic energy for a photon which is given by,
$K = \dfrac{1}{2}m{v^2}$
Here, m is the mass and v is the speed of the particle,
This energy is also
$\dfrac{{ch}}{\lambda }$
Where, h is the Planck’s constant
Since c is considered as speed of light, on substitution, we get
$m = \dfrac{{2h}}{{c\lambda }}$
Hence, this is the effective mass of a photon of wavelength λ.
Note: For the wavelength of 1nm, the effective mass using the de-broglie formula
$
\lambda = \dfrac{h}{{mv}} \\
m = \dfrac{{6.6 \times {{10}^{ - 34}}}}{{{{10}^{ - 9}} \times 3 \times {{10}^8}}} = 2.2 \times {10^{ - 33}}kg \\
$
The photons are used in the study of quantum mechanics and used in optical imaging and communication in quantum cryptography. It has applications in photochemistry, microscopy and also to measure molecular distances.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE