Physics question 'Clear the Runway?

What is the advanced physics book mentioned in this passage?

  • "How will you measure the length of a line?    What a naive question, at this stage, you might say! But what if it is  not a straight line? Draw a zigzag line in your copy, or on the  blackboard. Well, not too difficult again. You might take a thread,  place it along the line, open up the thread, and measure its length.                  Now imagine that you want to measure the length of a  national highway, a river, the railway track between two stations, or  the boundary between two states or two nations. If you take a string of  length 1 metre or 100 metre, keep it along the line, shift its position  every time, the arithmetic of man-hours of labour and expenses on the  project is not commensurate with the outcome. Moreover, errors are bound  to occur in this enormous task. There is an interesting fact about  this. France and Belgium share a common international boundary, whose  length mentioned in the official documents of the two countries differs  substantially!                  Go one step beyond and imagine the coastline where land  meets sea. Roads and rivers have fairly mild bends as compared to a  coastline. Even so, all documents, including our school books, contain  information on the length of the coastline of Gujarat or Andhra Pradesh,  or the common boundary between two states, etc. Railway tickets come  with the distance between stations printed on them. We have 'milestones'  all along the roads indicating the distances to various towns. So, how  is it done?                  One has to decide how much error one can tolerate and  optimise cost-effectiveness. If you want smaller errors, it will involve  high technology and high costs. Suffice it to say that it requires  fairly advanced level of physics, mathematics, engineering and  technology. It belongs to the areas of fractals, which has lately become  popular in theoretical physics. Even then one doesn't know how much to  rely on the figure that props up, as is clear from the story of France  and Belgium. Incidentally, this story of the France-Belgium discrepancy  appears on the first page of an advanced Physics book on the subject of  fractals and chaos!"                                                         -NCERT Physics Textbook

  • Answer:

    Not sure which book this passage refers to, but if you want to read more about Chaos Theory and fractals, you can buy Chaos Theory by James Gleick. It's a very comprehensive text and explains the chaos theory very clearly.

Arpit Gupta at Quora Visit the source

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