Wave Motion 2 Question 24

24. A wave represented by the equation y=acos(kxωt) is superimposed with another wave to form a stationary wave such that point x=0 is a node. The equation for the other wave is

(1988, 1M)

(a) asin(kx+ωt)

(b) acos(kxωt)

(c) acos(kx+ωt)

(d) asin(kxωt)

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Answer:

Correct Answer: 24. (c)

Solution:

  1. For a stationary wave to form, two identical waves should travel in opposite direction. Further at x=0, resultant y (from both the waves) should be zero at all instants.


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