You have learnt that a travelling wave in one dimension is represented by a function y= f(x, t) where x and t must appear in the combination x-v t or x + v t, i.e., y= f (x +- v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave: (a) (x-vt)^(2) (b) log [(x + vt)//x_(0)] (c ) 1//(x + vt)

You have learnt that a travelling wave in one dimension is represented

1.	You have learnt that a travelling wave in one dimension is represented by a function y= f(x, t) where x and t must appear in the combination x-v t or x + v t, i.e., y= f (x +- v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave: (a) (x-vt)^(2) (b) log [(x + vt)//x_(0)] (c ) 1//(x + vt)
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :The converse is not <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a>. An obvious requirement for an <a href="https://interviewquestions.tuteehub.com/tag/acceptable-846681" style="font-weight:bold;" target="_blank" title="Click to know more about ACCEPTABLE">ACCEPTABLE</a> function for a travelling wave is that it should be finite everywhere and at all times. Only function (c ) <a href="https://interviewquestions.tuteehub.com/tag/satisfies-1195235" style="font-weight:bold;" target="_blank" title="Click to know more about SATISFIES">SATISFIES</a> this condition, the <a href="https://interviewquestions.tuteehub.com/tag/remaining-1184297" style="font-weight:bold;" target="_blank" title="Click to know more about REMAINING">REMAINING</a> functions cannot possibly represent a travelling wave.</body></html>