The momentum of a photon of wavelength lambda | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The energy of a photon is given by $E = h
u$,where $h$ is Planck's constant and $
u$ is the frequency.According to Einstein's mass-energy equiva

Vedclass · Accepted Answer

$\frac{h}{\lambda}$

Vedclass · Answer

(A) The energy of a photon is given by $E = h
u$,where $h$ is Planck's constant and $
u$ is the frequency.According to Einstein's mass-energy equivalence,$E = mc^2$,where $m$ is the relativistic mass and $c$ is the speed of light.Equating the two expressions for energy: $mc^2 = h
u$.Since the momentum $p$ of a photon is defined as $p = mc$,we can substitute $m = \frac{p}{c}$ into the equation: $p = \frac{h
u}{c}$.Using the relation $
u = \frac{c}{\lambda}$,we substitute for $
u$: $p = \frac{h(c/\lambda)}{c} = \frac{h}{\lambda}$.Therefore,the momentum of a photon is $\frac{h}{\lambda}$.

The momentum of a photon of wavelength $\lambda$ is

Similar Questions

What is the unit of energy in atomic and nuclear physics? Define it.

Which of the following will have the least value of $\frac{q}{m}$?

There are two sources of light,each emitting with a power of $100 \, W$. One emits $X$-rays of wavelength $1 \, nm$ and the other visible light at $500 \, nm$. Find the ratio of the number of photons of $X$-rays to the photons of visible light of the given wavelength.

The relationship between the velocity and frequency of a photon in a vacuum is represented by a ...... .

The rest mass energy of an electron is $0.54 \, MeV$. If the velocity of the electron is $0.8 \, c$,then the kinetic energy $(K.E.)$ of the electron is .......... $MeV$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module