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A sinusoidal wave is generated by moving the end of a string up and down, periodically. The generator must apply the energy at maximum rate when the end of the string attached  to generator has X and least power when the end of the string attached to generator has Y. The most suitable option which correctly fills blanks X and Y, is  
  • a)
    Maximum displacement, least acceleration  
  • b)
    maximum displacement, maximum acceleration  
  • c)
    Least displacement, maximum acceleration  
  • d)
    Least displacement, least acceleration 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A sinusoidal wave is generated by moving the end of a string up and do...
Power for a travelling wave on a string is given by
For the displacement wave, y = A sin (kx – ωt)
Power delivered is maximum when cos2(kx – ωt) is maximum, which would be the case when sin (kx – ωt) is the least, i.e., displacement is minimum (acceleration is minimum).  Power delivered is minimum when cos2(kx – ωt) is minimum, which would be when sin(kx - cos2(kx – ωt)t) is maximum, i.e displacement is maximum(acceleration is maximum). 
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Most Upvoted Answer
A sinusoidal wave is generated by moving the end of a string up and do...
Explanation:

Sinusoidal Wave Generation:
- A sinusoidal wave is generated by moving the end of a string up and down periodically.

Energy Application:
- The generator must apply the energy at maximum rate when the end of the string attached to the generator has the maximum displacement.
- The generator must apply the least power when the end of the string attached to the generator has the least displacement.

Correct Option:
- The most suitable option that correctly fills in the blanks X and Y is:
- X: Least displacement
- Y: Maximum acceleration

Explanation of Option C:
- Option C states "Least displacement, maximum acceleration."
- When the end of the string has the least displacement, the generator needs to apply the least power.
- At the same time, to achieve maximum acceleration, the generator needs to exert the maximum force to accelerate the string rapidly.
Therefore, option C is the correct choice for the scenario described in the question.
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Community Answer
A sinusoidal wave is generated by moving the end of a string up and do...
Option C is correct...
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A sinusoidal wave is generated by moving the end of a string up and down, periodically. The generator must apply the energy at maximum rate when the end of the string attached to generator has X and least power when the end of the string attached to generator has Y. The most suitable option which correctly fills blanks X and Y, is a)Maximum displacement, least acceleration b)maximum displacement, maximum acceleration c)Least displacement, maximum acceleration d)Least displacement, least accelerationCorrect answer is option 'C'. Can you explain this answer?
Question Description
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