For four sine waves, moving on a string along positive X direction, displacement-distance curves (y–x curves) are shown at time t = 0. In the right column, expressions for y as function of distance X and time t for sinusoidal waves are given. All terms in the equations have general meaning. Correctly match y–x curves with corresponding equations.
Column-I | Column-II |
(i) | [A] y = A cos (ωt – kx) |
(ii) | [B] y = –A cos (kx–ωt) |
(iii) | [C] y = A sin (ωt–kx) |
(iv) | [D] y = A sin (kx – ωt) |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Ans.
(i) [C]
(ii) [A]
(iii) [D]
(iv) [B]
Sol.
Use x = o; t = o for y and particle velocity 
Like for , y = 0 at x = o and t = o.
> o i.e.
positive therefore it matches with (R)
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