The spectrum from a hydrogen vapour lamp is measured and four lines in the visible light range are observed. these lines are the so-called balmer series, where an electron makes a transition from a higher level to the second energy level (n2). in this series, the transition from n, 3 to ne 2 produces the photon with the lowest energy, this corresponds to the line with the longest wavelength. this is measured to be a 658.9 nm what value of the rydberg constant r is obtained using these measurements? express you answer in um to two decimal places. it is not necessary to specify the units.

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit