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(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

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$\frac{h}{m_0 c}$

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(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)

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