How much energy does an X-ray with an 8 nm (8 × 10-9 m) wavelength have?A.8.28 × 10-26 JB.3.33 × 1016 JC.2.48 × 10-17 JD.1.99 × 10-25 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. 3.33 × 10^16 J
C. 2.48 × 10^-17 J
D. 1.99 × 10^-25 J
Solution
To find the energy of an X-ray, we can use the formula for 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:
E = (6.626 × 10^-34 J*s) * (3.00 × 10^8 m/s) / (8 × 10^-9 m)
Solving this equation gives us the energy of the X-ray, which is approximately 2.48 × 10^-17 J. Therefore, the correct answer is C. 2.48 × 10^-17 J.
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