How was Bohrs atomic model able to explain the line spectrum of hydrogen

How was Bohr s atomic model able to explain the line spectrum of hydrogen  

Using Models Niels Bohr proposed that electrons must occupy specific, quantized energy levels in an atom. He derived the following equations for hydrogen s electron orbit energies (fn) and radii (rn). 

Using the orbit radii equation, calculate hydrogen s first seven electron orbit radii and then construct a scale model of those orbits. Use a compass and a metric ruler to draw your scale model on two sheets of paper that have been taped together. (Use caution when handling sharp objects.) Using the orbit energy equation, calculate the energy of each electron orbit and record the values on your model. 

What scale did you use to plot the orbits How is the energy of each orbit related to its radius  

Draw a set of arrows for electron jumps that end at each energy level (quantum number). For example, draw a set of arrows for all transitions that end at n - 1, a set of arrows for all transitions that end at n — 2, and so on, up to n - 7. 

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