Concept:On the electromagnetic spectrum, energy and frequency are directly proportional, while energy and wavelength are inversely proportional (\(E = \frac{hc}{\lambda}\)).
Solution:- Gamma (\(\gamma\)) rays originate from nuclear transitions and carry the highest energy in the entire electromagnetic spectrum.
- X-rays originate from inner electron orbital transitions and possess slightly less energy than gamma rays.
- Because \(\text{Energy}_{\gamma} > \text{Energy}_{\text{X-ray}}\), it mathematically follows that \(\lambda_{\gamma} < \lambda_{\text{X-ray}}\). Thus, gamma rays have a shorter wavelength.
Why other options are incorrect:Option C asserts gamma rays have less energy. Option A is false (they occupy distinct, albeit overlapping, energy bands based on origin). Option D is nonsensical terminology for wavelength.
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