For four sine waves, moving on a string along positive x-direction, displacement distance curves (y-x curves) as shown at time t=0. in this right column, expression for y as function of distance x and time t for sinusoidal waves are given. All terms in the equation have their usual meanings. Correctly match y-x curves with corresponding equation.

Options

A. A-P,B-Q,C-S,D-R
B. A-R,B-S,C-Q,D-P
C. A-R,B-P,C-S,D-Q
D. A-Q,B-R,C-P,D-S

Answer

C

Explanation

Use x=0, t=0 for y and particle velocity `(deltay)/(deltat)`
Life for (P), at x=0 and t=0, y=0 and particle velocity `(deltay)/(deltat)gt0`,
Therefore, it matches with (3) in column (II)
For (Q) in column (I): at x=0 and t=0, Y=A and `(deltay)/(deltat)=0`. therefore, it matches with (I) in column (II) similarly all matches can be evaluated.