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ValeryOchkov24-Ruby IV
24-Ruby IV
October 4, 2015
Solved

How can we get a numerical solution of one simple optic task with Prime?

  • October 4, 2015
  • 1 reply
  • 1372 views

See please one simple optic problem and the symbolic solution:

Optic4.png

    Best answer by StuartBruff

    Hi Valery,

    I think it should be +y(x) not -y(x) inside the root, and you should have either F=1 cm or y(F) = 0 m.  In addition, the derivative is not well-behaved when y = 0 (solve the expression for y'(x) and you'll get x-x on the bottom for y = 0) ... I've cheated a bit to get the solution, but there must be a proper way to do it!.

    Stuart

    1 reply

    S
    StuartBruff23-Emerald VAnswer
    23-Emerald V
    October 5, 2015

    Hi Valery,

    I think it should be +y(x) not -y(x) inside the root, and you should have either F=1 cm or y(F) = 0 m.  In addition, the derivative is not well-behaved when y = 0 (solve the expression for y'(x) and you'll get x-x on the bottom for y = 0) ... I've cheated a bit to get the solution, but there must be a proper way to do it!.

    Stuart

    V
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    October 5, 2015

    Thanks, Stuart.

    Do you know that

    The sinus of the angle of incidence equals the angle of reflection and vice versa.

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