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College Physics : Electromagnetic Radiation

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Example Question #91 : College Physics

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

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

Possible Answers:

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

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

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

$2.25\times 10^{26}J$ $\displaystyle 2.25\times 10^{26}J$

$1.1\times 10^{51}J$ $\displaystyle 1.1\times 10^{51}J$

Correct answer:

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

Explanation:

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

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

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

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College Physics : Electromagnetic Radiation

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Example Question #91 : College Physics

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