BITSAT2012PhysicsWaves and SoundActual
The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e^ - (a x²+b t²+2 a b . xt ) This represents a
Options
- Awave moving in -x direction, speed b a
- Bstanding wave of frequency b
- Cstanding wave of frequency 1 b
- Dwave moving in +x direction, speed a b
Correct answer
A. wave moving in -x direction, speed b a
Step-by-step solution
y(x, t)=e^ - (a x²+b t²+2 a b x t ) =e^ -( a x + b t )² It is a function of type y=f( t+k x) y(x, t) represents wave travelling along -x direction. Speed of wave = k = b a = b a