What is the energy in joules of an x-ray photon with wavelength 8.40*10e-10 m?
____J?
(b) Convert the energy to electron volts.
___eV
?
b. An electron volt? That is the charge on one electron (in C)times one volt..
a Volt-Coulomb is a Joule
a) energy= planck's constant*freq
where freq= speedlight/wavelength
To calculate the energy of an x-ray photon, you can use the equation:
E = hc/λ
where:
E is the energy of the photon,
h is the Planck's constant (6.62607015 x 10^-34 J·s),
c is the speed of light (2.998 x 10^8 m/s), and
λ is the wavelength of the photon.
(a) To calculate the energy in joules:
1. Substitute the given values into the equation:
E = (6.62607015 x 10^-34 J·s) * (2.998 x 10^8 m/s) / (8.40 x 10^-10 m)
2. Simplify the expression:
E ≈ 7.45 x 10^-17 J
Therefore, the energy of the x-ray photon is approximately 7.45 x 10^-17 joules.
(b) To convert the energy to electron volts (eV), you can use the conversion factor:
1 eV = 1.602176634 x 10^-19 J
1. Divide the energy in joules by the conversion factor:
E(eV) = (7.45 x 10^-17 J) / (1.602176634 x 10^-19 J)
2. Simplify the expression:
E(eV) ≈ 464.7 eV
Therefore, the energy of the x-ray photon is approximately 464.7 electron volts (eV).