Answer
The other student is wrong because the frequency of a wave is inversely proportional to its length; therefore, a low-frequency radiation has a large wavelength.
Work Step by Step
Analyzing the equation:
$Frequency = \frac{Velocity (Light)}{Wavelength}$;
Mathematically speaking, if we have large values of wavelength, the fraction will have a small value*; consequently, we will have a low frequency.
* Since the speed of light is constant.