Some infrared radiation has a wavelength that is 1000 times...

Some infrared radiation has a wavelength that is 1000 times larger than that of a certain visible light. This visible light has a frequency that is 1000 times smaller than that of some $X$ radiation. How many times more energy is there in a photon of this X radiation than there is in a photon of the infrared radiation?

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Key Concepts

Photon Energy

The energy of a photon is determined by the equation E = hf, where h is Planck’s constant and f is the frequency of the photon. This relation shows that any changes in the frequency of electromagnetic radiation directly affect its energy, making it a crucial concept in understanding how variations across the spectrum translate into energy differences.

Wavelength-Frequency Relationship

In the context of electromagnetic waves, the wavelength (?) and frequency (f) are inversely related by the equation ?f = c, where c is the speed of light. A longer wavelength corresponds to a lower frequency and vice versa, which is an essential principle when comparing energies of photons from different parts of the electromagnetic spectrum.

Scaling and Proportional Reasoning

Scaling arguments involve understanding how multiplicative factors affect related physical quantities. In problems comparing photon energies, recognizing that energy scales directly with frequency (and inversely with wavelength via the constant speed of light) allows one to determine the relative changes in energy when the wavelength or frequency is scaled by a certain factor.

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