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The amplitude of light depends upon the distance of the point from the axis of a cylindrical source as follows :

The amplitude of light depends upon the distance of the point from the axis of a cylindrical source as follows :

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Grade:12th pass

1 Answers

suresh kumar
37 Points
3 years ago
the example of cylindrical source is the line of light. it emits cylindrical expanding wave fronts.
intensity I=P/area ,
P is the power of source which is constant
Hence  I∝1/area
area of cylinder , a=2πrh  ,  (h=height of cylinder) ,
therefore intensity of wave ,
  I∝1/2πrh ,
which implies I∝1/r
 
we have , I∝A2  (A= amplitude)
 
we get ,  A2 ∝1/r ,
 A∝1/sqt(r)
Hence, last option is correct

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