Sound WavesHard
Question
The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, those describing wave motion are : -
Options
A.cos kx sinωt
B.k2x2 - ω2t2
C.cos2(kx + ωt)
D.cos(k2x2 - ω2t2)
Solution
y1 = cos kx sin ωt =
[sin (ωt + kx) + sin (ωt - kx)]
(Stationary Wave)
y3 = cos2(kα + ωt) =
[1 + cos (kx + ωt)]
(Progressive Wave)
[sin (ωt + kx) + sin (ωt - kx)](Stationary Wave)
y3 = cos2(kα + ωt) =
[1 + cos (kx + ωt)](Progressive Wave)
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
If the time period of oscillation of mass m suspended from a spring is 2sec, the time period of mass 4m will be:...The waves produced by a motorboat sailing in water are : -...A car moves towards a hill with speed vc. It blows a horn of frequency f which is heard by an observer following the car...Three sound waves of equal amplitudes have frequencies (v - 1), v, (v + 1). They superpose to give beats. The maximum nu...If the metal bob of a simple pendulum is replaced by wodden bob, then its time period will be :...