a.) What is the wavelength of the line matching to n=4in the Balmer series? Express your answer in nanometers tothree significant figures.

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b.) What is the wavelength of the heat correspondingto n=5 in the Balmer series? Express your answer innanometers to three far-ranging figures.

c.) What is the smallest wavelength λmin in theBalmer\"s series? Express her answer in nanometers to threesignificant figures.

d.) What is the largest wavelength λmax in theBalmer series? Express her answer in nanometers come threesignificant figures.

e.) What is the smallest worth of n for which thewavelength of a Balmer series line is smaller than 400nm,which is the lower limit for wavelengths in the visiblespectrum?Enter your answer together an integer.

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Transcribed picture text: The first quantitative summary of the hydrogen spectrum was given by Johann Balmer, a Swiss institution teacher, in 1885. Through trial and error, he uncovered that the correct wavelength 1 of every line observed in the hydrogen spectrum was provided by *- = R(11- ). %m-1 where R is a constant, later referred to as the Rydberg constant, and n may have the integer values 3, 4, 5, .... If is in meters, the numerical value of the Rydberg constant (determined from dimensions of wavelengths) is R = 1.097x10 m Balmer knew only the four lines in the visible spectrum the hydrogen. Thus, the original formula was composed for a restricted set of worths of n. However, as more techniques to detect various other regions that the spectrum to be developed, it came to be clear the Balmer's formula to be valid for all worths of n. The entire collection of spectral currently predicted by Balmer's formula is currently referred to as the Balmer series. Encouraged by the success of Balmer's formula, other scientists expanded the formula through simply an altering the 22 term come 12 or 32, or much more generally to ma, and also verified the presence of the matching wavelengths in the hydrogen spectrum. The resulting formula contains two creature quantities, m and n, and also it is given by i : - (-:-) wherein R is again the Rydberg constant. Because that m = 2, you can easily verify that the formula gives the Balmer series. For m=1, 3, 4, 5, the formula gives other to adjust of lines, or series, every one called after that discoverer. Note that because that each worth of m, n =m+1, m +2, m +3,.... If m = 3, in what range are wavelength calculated from the generalized formula displayed above? View obtainable Hint(s) microwave (1 to 10-4 m) infrared (10–3 come 7 x 10-7 m) visible (7 x 10-7 to 4 x 10-7 m) ultraviolet (4 x 10-7 to 10-8 m) O X rays (10-8 come 10-13 m)