A harmonic wave has been set up on a very long string which travels alongthe length of string. The wave has frequency of 50 Hz. Amplitude 1 cm and wavelength 0.5 m. for the above described wave. Statement (i): time taken by a point on the string to travel a distance of 8 m along the length of strime is 0.32 s. Statement (ii): time taken by a point in the string to travel a distance of 8m, once the wave has reached at that point and sets it into motion is 0.32 s.

A harmonic wave has been set up on a very long string which travels al

1.	A harmonic wave has been set up on a very long string which travels alongthe length of string. The wave has frequency of 50 Hz. Amplitude 1 cm and wavelength 0.5 m. for the above described wave. Statement (i): time taken by a point on the string to travel a distance of 8 m along the length of strime is 0.32 s. Statement (ii): time taken by a point in the string to travel a distance of 8m, once the wave has reached at that point and sets it into motion is 0.32 s.
Answer» Both the statement are CORRECT statement I is correct but statement II is incorect statement I is incorrect but statement II is correct both the statement are incorrect SOLUTION :The wave is travelling along the length of a string while PARTICLES constituting the string are oscillation in direction perpendicular to the lengthto string. In one time period (cycle), the wave MOVES forward by one wavelength while the particle on string travels a distance of 4 times the amplitude. Here,`T=1//f=0.02 s` Wave speed, `v=flambda=25 m//s` Time taken by wave to travel a distance of 8 m, `t_(1)=8//25 s=0.32 s`. Time taken by particle on string to travel a distance of 8 m. `t_(2)=(8xxT)/(4 "times amplitude") =(8)/(4xx0.01)xx0.02=4 s`