hi! i have a quick question, a pretty logical one though... please enlighten me, am I really that exhausted or is the sentence "the frequency of infrared radiation (which has a wavelength of 1.0 * 10^3 nm) is twice that of radio waves (which has a wavelength of 1.0 * 10^6 nm)" incorrect? I mean, the logic is pretty simple, frequency equals the speed of light over wavelength, so frequency is directly proportional with 1/wavelength, so the ratio should be 10^3. But isn't twice supposed to be two times something? Wasn't the ratio supposed to be two then? Am I missing something? Thanks!