Wave motionMedium
Question
A wave is propagating along x-axis. The displacement of particle of the medium in z- direction at t = 0 is given by : z = exp [-(x + 2)2], where ′x′ is in meter. At t = 1s, the same wave disturbance is given by z = exp [-(2-x)2]. Then the wave propagation velocity is : -
Options
A.4 m/s in + x direction
B.4 m/s in - x direction
C.2 m/s in + x direction
D.2 m/s in - x direction
Solution
Let wave equation be
z = e-[x-v(t-t0)]2
At t = 0, x + vt0 = x + 2 ⇒ vt0 = 2
At t = 1s, x - v (1 - t0) = x - 2 ⇒ v = + 4 m/s
z = e-[x-v(t-t0)]2
At t = 0, x + vt0 = x + 2 ⇒ vt0 = 2
At t = 1s, x - v (1 - t0) = x - 2 ⇒ v = + 4 m/s
Create a free account to view solution
View Solution FreeMore Wave motion Questions
If an interference pattern have maximum and minimum intensities in 36 :1 ratio then what will be the ratio of amplitudes...A sine wave has an amplitude A and waelength λ Let V be wave velocity and v be the maximum velocity of a particle i...What is the unit of intensity of wave ?...Two symmetric, identical pulses of opposite amplitude travel along a stretched string in opposite directions as shown in...Phenomenon of interference is observed : -...