JEE Advanced2014PhysicsWaves and SoundActual
One end of a taut string of length 3m along the x axis is fixed at x = 0. The speed of the waves in the string is 100 m s - 1 . The other end of the string is vibrating in the y direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary waves is (are)
Options
- Ay t = A sin π x 6 cos 50 π t 3
- By t = A sin π x 3 cos 100 π t 3
- Cy t = A sin 5 π x 6 cos 250 π t 3
- Dy t = A sin 5 π x 2 cos 250 π t
Correct answer
A. y t = A sin π x 6 cos 50 π t 3
Step-by-step solution
Taking y ( t ) = A f ( x ) g ( t ) & Applying the conditions: 1; here x = 3 m is antinode & x = 0 is node 2; possible frequencies are odd multiple of fundamental frequency. Where, v f u n d a m e n t a l = v 4 l = 25 3 H z The correct option are A, C, D.