NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice
A stationary wave of amplitude A is generated between the two fixed ends x = 0 and x = L . The particle at x = L 3 is a node. There are only two particles between x = L 6 and x = L 3 which have maximum speed half of the maximum speed of the anti-node. Again there are only two particles between x = 0 and x = L 6 which have maximum speed half of that at the antinodes. The slope of the wave function at x = L 3 changes w
Options
- AT
- B2 T
- CT 2
- D4 T
Correct answer
B. 2 T
Step-by-step solution
x = 0 is a Node ∂ y ∂ x = 0 at t = 0 ⇒ y = Asin kx . sin ωt ∂ y ∂ x = Ak · cos kx · sin ωt ω · 2 T = 2 π T = π ω T ' = 2 π ω = 2 T