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

b.) What is the wavelength of the line correspondingto n=5 in the Balmer series? Express your answer innanometers to three significant figures.

c.) What is the smallest wavelength ?min in theBalmer's series? Express your answer in nanometers to threesignificant figures.

d.) What is the largest wavelength ?max in theBalmer series? Express your answer in nanometers to threesignificant figures.

e.) What is the smallest value 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 as an integer.

f.) g.)

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The first quantitative description of the hydrogen spectrum was given by Johann Balmer, a Swiss school teacher, in 1885. By trial and error, he found that the correct wavelength X of each line observed in the hydrogen spectrum was given by 1 = = = R ( ² - ). 1 22 where R is a constant, later called the Rydberg constant, and n may have the integer values 3, 4, 5, .... If À is in meters, the numerical value of the Rydberg constant (determined from measurements of wavelengths) is R = 1.097×107 m-¹. Balmer knew only the four lines in the visible spectrum of hydrogen. Thus, the original formula was written for a limited set of values of n. However, as more techniques to detect other regions of the spectrum were developed, it became clear that Balmer's formula was valid for all values of n. The entire series of spectral lines predicted by Balmer's formula is now referred to as the Balmer series. The first quantitative description of the hydrogen spectrum was given by Johann Balmer, a Swiss school teacher, in 1885. By trial and error, he found that the correct wavelength X of each line observed in the hydrogen spectrum was given by 1 = = = R ( ² - ). 1 22 where R is a constant, later called the Rydberg constant, and n may have the integer values 3, 4, 5, .... If À is in meters, the numerical value of the Rydberg constant (determined from measurements of wavelengths) is R = 1.097×107 m-¹. Balmer knew only the four lines in the visible spectrum of hydrogen. Thus, the original formula was written for a limited set of values of n. However, as more techniques to detect other regions of the spectrum were developed, it became clear that Balmer's formula was valid for all values of n. The entire series of spectral lines predicted by Balmer's formula is now referred to as the Balmer series.