Electromagnetic Spectrum

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An x-ray machine emits electromagnetic photons carrying a frequency of $7.5 \times 10^{17} Hz$ . What is the approximate energy carried by each photon?

$h=6.63\times 10^{-34}\frac{m^2\cdot kg}{s}$

$5.0\times 10^{-16}J$

CORRECT

$8.84\times 10^{-52}J$

$1.1\times 10^{51}J$

$4.0\times 10^{-10}J$

$2.25\times 10^{26}J$

Explanation

The energy of a photon of a given frequency is determined by the equation

, where is Plank's constant $(h=6.63\times 10^{-34}\frac{m^2\cdot kg}{s})$

So plug in Plank's constant and the frequency of the x-ray photons to get an energy of very near $5.0\times 10^{-16}J$

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