24-6 Calculate the frequency in hertz of (a) an X-ray beam with a wavelength of 2.65stackrel (circ )(A) (b) an emission line for copper at 211.0 nm. (c)the line at 694.3 nm produced by a ruby laser (d) the output of a CO_(2) laser at 10.6 jim. (e)an infrared absorption peak at 19.6 um. (f) a microwave beam at 1.86 cm.

To calculate the frequency of a wave, we can use the formula:<br /><br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br /><br />Where:<br />- The speed of light (c) is approximately 3.00 x 10^8 m/s.<br />- The wavelength (λ) is given in nanometers (nm) for parts (b), (c), (d), and (e), and in angstroms (Å) for part (a).<br /><br />Let's calculate the frequency for each part:<br /><br />(a) An X-ray a wavelength of 2.65Å:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) = (3.00 x 10^8 m/s) / (2.65 x 10^-10 m)<br />Frequency (f) = 1.13 x 10^19 Hz<br /><br />(b) An emission line for copper at 211.0 nm:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) = (3.00 x 10^8 m/s) / (211.0 x 10^-9 m)<br />Frequency (f) = 1.42 x 10^15 Hz<br /><br />(c) The line at 694.3 nm produced by a ruby laser:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) = (3.00 x 10^8 m/s) / (694.3 x 10^-9 m)<br />Frequency (f) = 4.32 x 10^14 Hz<br /><br />(d) The output of a CO2 laser at 10.6 μm:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) = (3.0010^8 m/s) / (10.6 x 10^-6 m)<br />Frequency (f) = 2.83 x 10^13 Hz<br /><br />(e) An infrared absorption peak at 19.6 μm:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) = (3.00 x 10^8 m/s) / (19.6 x 10^-6 m)<br />Frequency (f) = 1.53 x 10^13 Hz<br /><br />(f) A microwave beam at 1.86 cm:<br />Frequency (f) = Speed of light (c) / Wavelength (λ)<br />Frequency (f) =.00 x 10^8 m/s) / (1.86 x 10^-2 m)<br />Frequency (f) = 1.62 x 10^10 Hz<br /><br />Therefore, the frequencies for each part are:<br />(a) 1.13 x 10^19 Hz<br />(b) 42 x 10^15 Hz<br />(c) 4.32 x 10^14 Hz<br />(d) 2.83 x 10^13 Hz<br />(e) 1.53 x 10^13 Hz<br />(f) 1.62 x 10^10 Hz