Answer:
The visible light telescope will have a better resolution of the image than the radio telescope.
Explanation:
The angular resolution is defined as the minimal separation at which two sources can be resolved one for another and it can be determined in an analytical way by means of the Rayleigh criterion.
[tex]\theta = 1.22\frac{\lambda}{D}[/tex] (1)
Where [tex]\lambda[/tex] is the wavelength and D is the diameter of the telescope.
According to equation 1, the angular resolution is proportional to the wavelength.
In the electromagnetic spectrum, radio waves have a greater wavelength than the visible region. Therefore, the angular resolution of the radio telescope will have a greater value than the visible light telescope.
However, if the value [tex]\theta[/tex] is small, the image will have a better resolution.
Therefore, since the two telescopes have the same diameter, the wavelength will be the decisive factor that makes [tex]\theta[/tex] smaller. So, it can be understood that the visible light telescope will have a better resolution of the image than the radio telescope.
