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If an X-ray machine emits radiation at a frequency of 3.00 x 10 19Hz. What is the energy of 1 proton of this X-ray radiation?

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Final answer:

The energy of one photon of X-ray radiation with a frequency of 3.00 × 1019 Hz is 1.988 × 10-14 J, calculated using the equation E = hf with Planck's constant and the given frequency.

Step-by-step explanation:

The student has asked about the energy of one photon of X-ray radiation with a frequency of 3.00 × 1019 Hz. To calculate the energy (E) of a photon, we use the equation that relates energy to frequency, E = hf, where h is Planck's constant and f is the frequency of the radiation.

To find the energy of one photon of this X-ray radiation, we use Planck's constant (h = 6.626 × 10-34J·s) and the given frequency (f = 3.00 × 1019Hz):

E = h×f = (6.626 × 10-34 J-s) × (3.00 × 1019 Hz) = 1.988 × 10-14 J per photon.

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