A digital spectrometer is used to measure the visible wavelengths of the hydroge

Question

A digital spectrometer is used to measure the visible wavelengths of the hydrogen spectrum. From the data a plot of 1/ versus 1/(ni)2 is constructed and error bars are to be included for 1/. One of the methods used is to graph the data. Kaleidagraph is then used to find the equation of the best fit line for this data. Kaleidagraph calculates the slope to be -1.19×10-2 ± 9.00×10-4 and the intercept to be 2.98×10-3 ± 2.25×10-4. One of the wavelengths is measured as 410.2±5.1 nm. For this wavelength, what is the uncertainty in 1/?

Explanation / Answer

Uncertainity in (1/) is,

(1/) = /2

For = 410.2 nm,

(1/) = 5.1 / 410.22 = 3.03 * 10-5 nm-1

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