NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice
The transverse displacement of a wave on string is given by y x, t = e - ax 2 + bt 2 + 2 ab xt , this represents a _______
Options
- AWave moving along + x-axis with speed a b
- BWave moving along - x-axis with speed b a
- CStanding wave of frequency b
- DStanding wave of frequency 1 b
Correct answer
B. Wave moving along - x-axis with speed b a
Step-by-step solution
General equation of travelling wave is y = f ax   ±  bt = f x   ±  vt y = e - ax 2 + bt 2 + 2 ab   xt = e - a x  + b   t   2 So, the wave will be travelling along - x-axis with speed b a .