Electromagnetic radiation with a wavelength of 5.7 × 10-12 m is incide

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Electromagnetic radiation with a wavelength of 5.7 × 10-12 m is incident on stationary electrons. Radiation that has a wavelength of 6.6 × 10-12 m is detected at a scattering angle of: 10∘ 40∘ 50∘ 69∘ 111∘

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Electromagnetic radiation with a wavelength of

5.7 \times 10^{- 12} m

is incident on stationary electrons. Radiation that has a wavelength of

6.6 \times 10^{- 12} m

is detected at a scattering angle of:

10^{\circ}

40^{\circ}

50^{\circ}

69^{\circ}

111^{\circ}

Explanation & Steps

According to the Compton scattering effect, when a high frequency photon of wavelength λ is incident on a stationary charged particle i.e. electron, a new photon of wavelength λ' is generated at an angle θ. This angle is called as scattering angle. Conservation of energy, conservation of momentum along with Planck relationship and Einstein relationship for energy can be used to relate using the formula as:

$\lambda' - \lambda =1-\left ( \frac{h}{m_{e}C} \right )\left ( 1-cos \theta \right )$