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Calculate the energy of a gamma ray photon whose wavelength is 5.98 x 10-13 m.

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Final answer:

The energy of a gamma ray photon with a wavelength of 5.98 x 10^-13 m is 3.31 x 10^-15 J.

Step-by-step explanation:

To calculate the energy of a gamma ray photon, we can use the equation E = hf, where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), and f is the frequency of the photon. Since the frequency can be calculated using the equation f = c/λ, where c is the speed of light (3 x 10^8 m/s) and λ is the wavelength, we can substitute this expression into the energy equation. Therefore, E = hc/λ.

Given that the wavelength of the gamma ray photon is 5.98 x 10^-13 m:

E = (6.626 x 10^-34 J·s)(3 x 10^8 m/s) / (5.98 x 10^-13 m) = 3.31 x 10^-15 J

Therefore, the energy of the gamma ray photon is 3.31 x 10^-15 J.

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