How much energy does an X-ray with an 8 nm (8 × 10-9 m) wavelength have?A.8.28 × 10-26 JB.2.48 × 10-17 JC.1.99 × 10-25 JD.3.33 × 1016 J

Question

How much energy does an X-ray with an 8 nm (8 × 10^-9 m) wavelength have?

A. 8.28 × 10^-26 J
B. 2.48 × 10^-17 J
C. 1.99 × 10^-25 J
D. 3.33 × 10^16 J

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Solution

To find the energy of an X-ray, we can use the formula for the energy of a photon, which is given by:

E = h * c / λ

where: E is the energy of the photon, h is Planck's constant (6.626 × 10^-34 J*s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength of the photon.

Given that the wavelength of the X-ray is 8 nm (8 × 10^-9 m), we can substitute these values into the formula to find the energy:

E = (6.626 × 10^-34 J*s) * (3.00 × 10^8 m/s) / (8 × 10^-9 m)

Solving this equation gives:

E = 2.48 × 10^-17 J

So, the correct answer is B. 2.48 × 10^-17 J.

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How much energy does an X-ray with an 8 nm (8 × 10-9 m) wavelength have?A.8.28 × 10-26 JB.2.48 × 10-17 JC.1.99 × 10-25 JD.3.33 × 1016 J

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