An electric current through hydrogen gas produces several spectral lines from the transitions to n = 2, called the Balmer series. The four most visible ones are at 410.2 nm, 434.0 nm, 486.1 nm, and 656.3 nm. Assume you are observing these lines with a diffraction grating of 5870 lines per centimeter. a) What is the angle (in degrees) of the second-order maximum for the 410.2 nm line? b) What is the angle (in degress) of the second-order maximum for the 434.0 nm line? c) What is the angle (in degrees) of the second-order maximum for the 486.1 nm line? d) What is the angle (in degrees) of the second-order maximum for the 656.3 nm line?

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An electric current through hydrogen gas produces several spectral lines from the transitions to n = 2, called the Balmer series. The four most visible ones are at 410.2 nm, 434.0 nm, 486.1 nm, and 656.3 nm. Assume you are observing these lines with a diffraction grating of 5870 lines per centimeter.

a) What is the angle (in degrees) of the second-order maximum for the 410.2 nm line?

b) What is the angle (in degress) of the second-order maximum for the 434.0 nm line?

c) What is the angle (in degrees) of the second-order maximum for the 486.1 nm line?

d) What is the angle (in degrees) of the second-order maximum for the 656.3 nm line? 

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