JEE Main202117 Mar 2021Evening ShiftPhysicsWaves and SoundActual
A sound wave of frequency 245 Hz travels with the speed of 300 m s - 1 along the positive x-axis. Each point of the wave moves to and fro through a total distance of 6 cm . What will be the mathematical expression of this travelling wave?
Options
- AY ( x , t ) = 0 . 03 sin 5 . 1 x - 0 . 2 × 10 3 t
- BY ( x , t ) = 0 . 06 sin 5 . 1 x - 1 . 5 × 10 3 t
- CY ( x , t ) = 0 . 06 sin 0 . 8 x - 0 . 5 × 10 3 t
- DY ( x , t ) = 0 . 03 sin 5 . 1 x - 1 . 5 × 10 3 t
Correct answer
D. Y ( x , t ) = 0 . 03 sin 5 . 1 x - 1 . 5 × 10 3 t
Step-by-step solution
ω = 2 π f = 1 . 5 × 10 3 A = 6 2 = 3   cm = 0 . 03   m