please show work In 1985, the record for the shortest event ever created was a l

Question

please show work In 1985, the record for the shortest event ever created was a laser pulse about 10 femtoseconds (10 - 14s) long, but recently scientists have generated pulses of light 100 atto seconds (10 - 16s) long. Compute the mini mu m spectral widths of these pulses. The actual pulse frequency must be larger than its spectral width, so what is the mini mu m light frequency that must be used in order to generate such short pulses? What wavelengths and spectral regions (that is, gamma ray, x - ray, UV, visible, IR, microwave, or radio) do these frequencies correspond to? What spectral region should researchers look to in order to generate even shorter pulses?

Explanation / Answer

Time period (T) of the short pulse = 100 attoseconds = (100)(10^-18 s) = 10^-16 s Then frequency of such short generated pulses is f = 1 / T = 1 / (10^-16 s) = 10^16 Hz wavelength of these pulses is lambda = c / f = (3.0x10^8 m/s) / (10^16Hz) = 3.0x10^-8 m = 0.30x10^-9 m = 0.30 nm Frequency range Ultraviolet region is 7.9x10^14 - 3.4x10^16 So the frequency of these short pulses comes under UV region

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