JEE Main202228 Jul 2022Morning ShiftPhysicsWaves and SoundActual
In the wave equation y = 0 . 5 sin 2 π λ 400 t - x m the velocity of the wave will be :
Options
- A200   m   s - 1
- B200 2   m   s - 1
- C400   m   s - 1
- D400 2   m   s - 1
Correct answer
C. 400   m   s - 1
Step-by-step solution
Given equation of the wave is y = 0 . 5 sin 2 π λ 400 t - 2 π λ x Comparing it with the standard equation of motion y = A sin ω t - k x we get, ω = 2 π λ 400 and k = 2 π λ Now the velocity of the wave will be, v = ω k   ⇒ v = 400   m   s - 1