Consider a hypothetical annihilation of a sta | vedclass

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

Question

(B) When a stationary electron and a stationary positron annihilate,they produce two photons to conserve both energy and momentum.Let the energy of ea

Vedclass · Accepted Answer

$\frac{h}{m_0 c}$

Vedclass · Answer

(B) When a stationary electron and a stationary positron annihilate,they produce two photons to conserve both energy and momentum.Let the energy of each photon be $E = \frac{hc}{\lambda}$.According to the law of conservation of energy:$E_1 + E_2 = E_{electron} + E_{positron}$$\frac{hc}{\lambda} + \frac{hc}{\lambda} = m_0 c^2 + m_0 c^2$$\frac{2hc}{\lambda} = 2 m_0 c^2$$\frac{hc}{\lambda} = m_0 c^2$Solving for $\lambda$:$\lambda = \frac{h}{m_0 c}$.

Consider a hypothetical annihilation of a stationary electron with a stationary positron. What is the wavelength of the resulting radiation? ($h =$ Planck's constant,$c =$ speed of light,$m_0 =$ rest mass)

Similar Questions

The wavelength of an electron and a photon are equal. If the energy of the photon is $E$ and the momentum of the electron is $p$,what is the value of $p/E$?

What is the charge on a photon?

Find the number of photons emitted per second by a $100\, W$ red light source. Assume for simplicity that the average wavelength of each photon is $694\, nm$.

The rest energy of an electron is $0.511 \, MeV$. The electron is accelerated from rest to a velocity $0.5 \, c$. The change in its energy will be ............ $MeV$.

If the momentum of a photon is $p$,then its frequency is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module