Manipal MET2016PhysicsWaves and Sound
If a wave travelling in positive x -direction with A=0.2 ~m / s , velocity =360 ~m / s and =60 ~m , then correct expression for the wave is
Options
- Ay=0.2 [2 (6 t+ x 60 ) ]
- By=0.2 sin [ (c_ i t + x 50 ) ]
- Cy=0.2 [2 (6 t- x 60 ) ]
- Dy=0.2 [ (6 t- x 60 ) ]
Correct answer
C. y=0.2 [2 (6 t- x 60 ) ]
Step-by-step solution
General equation for a plane progressive wave travelling along positive x -direction is given by y=A ( t-k x)=A [2 (v t- x ) ] (i) Here, it is given v=360 ~m / s , =60 ~m We know that, frequency v= v = 360 60 =6 ~Hz Substituting A=0.2 ~m / s , v =6 ~Hz aligned & =60 ~m in Eq. (i), we get & y=0.2 [2 (6 t- x 60 ) ] aligned