For each question, please paraphrase the question (you can just change the numbe

Question

For each question, please paraphrase the question (you can just change the numbers and ask a question that requires the use of the same concepts) and provide a solution to the paraphrased question.

Q14.2a

Convert 3×104cm13×104cm1 to wavelength. Identify what kind of spectroscopy?

Q14.2a

What is the frequency and wavenumber of a 740 nm photon?

Q14.2b

The wavelength of the red line in the Hydrogen spectrum is 656 nm (656×109m656×109m). What is the wavenumber and frequency of it?

Q14.2c

Convert 533 nm to wavenumber and frequency.

Explanation / Answer

wave number= 1/ Wave length

Wave length= 1/ Wave nuumber = 1/3*104cm=3.3*10-5cm= 3.3*10-7m=3.3*10-7*106um= 0.33 um ( this is x- rays)

b) 740 nm= 740*10-9 m, = c where = wave length , = c / = frequecny = 3*108 m/sec/ 740*10-9m = 0.004054*1017/sec, Converting the nanometer to micrometers = 740*10-9m = 740*10-9*106uM=0.74um

wave number , cm-1 = 10000/um = 10000/0.74=135135.4 cm-1

c) wave number = 107/nm =107/656 =15243.9 cm-1

Frequecny = 3*108*102cm/sec* 15243.9cm =4.573*1014/sec

d( 452 nm= 0.452 uM Wave numberd= 10000/0.452=22124 cm-1 Frequecny = 3*1010*22124=6.63*1014/sec

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