MHT CET20243 May 2024Morning ShiftPhysicsWaves and SoundActual
The displacement of a wave is given by y=0 002 (100 t+x) where ' x 'and ' y ' are in metre and ' t ' is in second. This represents a wave
Options
- Aof wavelength one metre
- Btravelling with a velocity of 100 ~m / s in the negative x -direction
- Cof frequency ( 100 ) Hz
- Dtravelling with a velocity of ( 50 ) m / s in the positive x -direction
Correct answer
B. travelling with a velocity of 100 ~m / s in the negative x -direction
Step-by-step solution
Comparing y =0.002 ( t + x ) with y = a ( t + kx ) We get =100 rad / s and k =1 rad / m and a =0.002 n = 2 = 100 2 = 50 ~Hz Velocity v = k =100 ~m / s and k = 2 = 2 k =2 ~m Thus, it represents a wave travelling with a velocity of 100 ~m / s in the -ve direction.