Roberto's Observation of a Black Hole Radio Emission at 22 GHz

What is the wavelength of the radio emission Roberto is studying using the VLA at 22 GHz?

Mega, The wavelength of the radio emission that Roberto is studying is 1.36 m (option d).

Understanding Radio Emission Wavelength

Radio emission refers to the radiation of energy as electromagnetic waves with wavelengths ranging from less than one millimeter to more than 100 kilometers. As a result, the radio emission is classified as a long-wave electromagnetic radiation. The VLA stands for Very Large Array, which is a radio telescope facility in the United States. It comprises 27 individual antennas arranged in a "Y" pattern in the New Mexico desert. It observes radio emission wavelengths ranging from 0.04 to 40 meters. Now, let's use the formula to find the wavelength of the radio emission; v = fλ, where, v is the speed of light, f is the frequency of the radio emission, and λ is the wavelength of the radio emission. Given that Roberto is observing a black hole using the VLA at 22 GHz, the frequency of the radio emission (f) is 22 GHz. The speed of light is given as 3 x 10⁸ m/s. Substituting the given values in the formula above gives: v = fλ 3 x 10⁸ = (22 x 10⁹)λ Solving for λ gives; λ = 3 x 10⁸ / 22 x 10⁹ λ = 0.0136 m Convert 0.0136 m to Mega ; 0.0136 m = 13.6 x 10⁻³ m = 13.6 mm = 1.36 m Therefore, the wavelength of the radio emission that Roberto is studying is 1.36 m.
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