BITSAT2010PhysicsWaves and SoundActual
A wave y=a ( t-k x) on a string meets with another wave producing a node at x =0 . Then the equation of the unknown wave is
Options
- Ay=a ( t+k x)
- By=-a ( t+k x)
- Cy=a ( t-k x)
- Dy=-a ( t-k x)
Correct answer
B. y=-a ( t+k x)
Step-by-step solution
Equation of a wave y₁=a ( t-k x) ....(i) Let equations of another wave may be, y₂=a ( t+k x) ....(ii) y₃=-a ( t+k x) . (iii) If Eq. (i) propagate with Eq. (ii), we get y =2 a kx t If Eq. (i), propagate with Eq. (iii), we get y=-2 a k x t At x=0, y=0, wave produce node So, Eq.(iii) is the equation of unknown wave