a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 keV.
wavelength of photon = 7.019 × 10⁻¹³ m
Total energy of photon = 1.77 MeV.
An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.
The rest mass energy for electron and positron:
E₀ = m₀c²
E₀ = (9.1 × 10⁻³¹) × (3 × 10⁸)
E₀ = 8.198 × 10⁻¹⁴ J
E₀ = 512.4 × 10³ eV or 512.4 KeV
Total energy of photon:
= [2 × (375)] + [2 × ( 512.4 )]
= 1774.8 KeV
= 1.77 MeV.
Energy = hc/λ
or, λ = (6.626 × 10⁻³⁴) × (3 × 10⁸)
or, λ = 7.019 × 10⁻¹³ m
Thus, wavelength of photon = 7.019 × 10⁻¹³ m
Total energy of photon = 1.77 MeV.
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