JEE Main202324 Jan 2023Morning ShiftPhysicsWaves and SoundActual
A travelling wave is described by the equation y x , t = 0 . 05 sin 8 x - 4 t m . The velocity of the wave is: [All the quantities are in SI unit]
Options
- A4   m   s - 1
- B2   m   s - 1
- C0 . 5   m   s - 1
- D8   m   s - 1
Correct answer
C. 0 . 5   m   s - 1
Step-by-step solution
The given wave equation is of the form: y = A sin k x - ω t with k = 8 and ω = 4 Since, k = 2 π λ and ω = 2 πf Then, ω k = f λ = v ⇒ v = 4 8 = 0 . 5   m   s - 1