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You have learnt that a travelling wave in onedimension is represented bya function y = f( x,t )where x and t must appear in the combination x -vtorx + vt , i.e., y = f( x+- v t ). Is the converse true ? Examine if the followingfunction for y can possibly represent a travelling wave : (a)(x - vt ) 2 (b)log[ ( x+ vt ) //x_(0)] (c )1//(x+vt ) |
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Answer» Solution :No, the CONVERSE is not TRUE. The basicrequirement for a wave function to represent a travelling wave is that for allvalue of x& t, wave function MUST have a finite value . Out of the given function y, no one satisfies this condition THEREFORE, none can represent a travelling wave. |
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