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Question: Answered & Verified by Expert

A travelling wave is described by the equation yx,t=0.05sin8x-4t m. The velocity of the wave is:

[All the quantities are in SI unit]

PhysicsWaves and SoundJEE MainJEE Main 2023 (24 Jan Shift 1)
Options:
  • A 4 m s-1
  • B 2 m s-1
  • C 0.5 m s-1
  • D 8 m s-1
Solution:
1584 Upvotes Verified Answer
The correct answer is: 0.5 m s-1

The given wave equation is of the form:

y=Asinkx-ωt

with k=8 and ω=4

Since, k=2πλ and ω=2πf

Then, ωk=fλ=v

v=48=0.5 m s-1 

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