4.)a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 ke v. determine the energy and wavelength of the photon

Respuesta :

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.

What is kinetic energy?

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.

To know more about kinetic energy refer to:

https://brainly.com/question/8101588

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