Answer:
We can use the equation λ=c/ν where λ is the wavelength, c is the speed of light and ν is the frequency.
Given frequency,
ν = 1.0×10¹⁹ Hz
The speed of light is a constant, c = 3.0×10⁸ m/s in air.
Using the above equation;
λ = c/ν = (3.0×10⁸ m/s)/(1.0×10¹⁹ Hz) ≈ 3.0×10⁻¹¹ m
So, the wavelength of the given x-rays in air is approximately 3.0×10⁻¹¹ m.
Explanation: This calculation shows that the wavelength of x-rays with a frequency of 1.0×10¹⁹ Hz is very short. The wavelength of the x-ray radiation makes it possible to produce images of very small objects and structures, which is a valuable tool in medical and scientific research. The equation λ=c/ν is a fundamental equation that relates the wavelength, frequency, and the speed of light in a vacuum or in a medium.