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Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are \( y_{1}(x, t)=y_{m} \sin (3 x-6 t), y_{2}(x, t)=y_{m} \sin (4 x-8 t) \), and \( y_{3}(x, t)=y_{m} \sin (6 x-12 t) \), where \( x \) is in meters and \( t \) is in seconds. Match each mathematical form to the appropriate graph below.
(i)
(iii)
(A) \( y_{1} \rightarrow(\mathrm{i}) ; y_{2} \rightarrow(\mathrm{ii}) ; y_{3} \rightarrow(\mathrm{iii}) \)
(B) \( y_{1} \rightarrow(\mathrm{iii}) ; y_{2} \rightarrow(\mathrm{ii}) ; y_{3} \rightarrow(\mathrm{i}) \)
(C) \( y_{1} \rightarrow(\mathrm{i}) ; y_{2} \rightarrow(\mathrm{iii}) ; y_{3} \rightarrow(\mathrm{ii}) \)
(D) \( y_{1} \rightarrow( \) ii \( ) ; y_{2} \rightarrow(\mathrm{i}) ; y_{3} \rightarrow( \) iii \( ) \)
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