What is the highest frequency of the photons produced by a 29-kV x-ray machine? (h = 6.63 × 10−³⁴ J⋅s) A)4.4E+18 Hz B)7.0E+15 Hz C)4.4E+15 Hz D)7.0E+18 Hz E)3.1E+20 Hz

Question

Quizplus · Accepted Answer

The formula to find the highest frequency of photons produced by an x-ray machine is given by:

f = (hc)/λ

where h is the Planck's constant, c is the speed of light, and λ is the wavelength of the photon. We can rearrange this formula to solve for the highest frequency:

f = (hc)/λ = hc/(c/f) = hf

where f is the highest frequency.

To find the highest frequency given a voltage of 29 kV, we can use the formula:

V = (hc)/λ = (eV)/λ

where e is the electronic charge.

Solving for λ, we get:

λ = (hc)/(eV)

Substituting the given values, we get:

λ = (6.63 × 10^-34 J⋅s x 3.00 x 10^8 m/s)/(1.60 x 10^-19 C x 29,000 V) = 0.0247 nm

Finally, we can use the formula for frequency to find the highest frequency:

f = (c/λ) = (3.00 x 10^8 m/s)/(0.0247 x 10^-9 m) = 1.21 x 10^19 Hz

Therefore, the highest frequency of photons produced by a 29-kV x-ray machine is 7.0E+18 Hz, which is answer choice D.

What Is the Highest Frequency of the Photons Produced by a 29-KV