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51. A student found out that x-radiation has an ENERGY of 4.60 x 10^-14 J in the experiment. The THEORETICAL WAVELENGTH of x-radiation is listed as 4.10 x 10^-12 m. What is the percent error of ENERGY in this experiment? Report ONLY NUMERIC ANSWER (with no percent sign)  in the correct sig figs. You may use Planck's constant value = 6.626 x 10^-34 J-s, and speed of light = 3.00 x 10^8 m/s1 pointYour answer

Question

  1. A student found out that x-radiation has an ENERGY of 4.60 x 10^-14 J in the experiment. The THEORETICAL WAVELENGTH of x-radiation is listed as 4.10 x 10^-12 m. What is the percent error of ENERGY in this experiment? Report ONLY NUMERIC ANSWER (with no percent sign)  in the correct sig figs. You may use Planck's constant value = 6.626 x 10^-34 J-s, and speed of light = 3.00 x 10^8 m/s1 pointYour answer
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Solution

To calculate the percent error, we first need to find the theoretical energy. We can use the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

  1. Calculate the theoretical energy: E = (6.626 x 10^-34 J-s) * (3.00 x 10^8 m/s) / (4.10 x 10^-12 m) E = 4.85 x 10^-14 J

  2. Calculate the percent error: Percent error = |(experimental value - theoretical value) / theoretical value| * 100 Percent error = |(4.60 x 10^-14 J - 4.85 x 10^-14 J) / 4.85 x 10^-14 J| * 100 Percent error = 5.15

So, the percent error of energy in this experiment is 5.15.

This problem has been solved

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