Sound WavesHard
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 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:...A sonometer wire has a total length of 2m between the fixed ends. Two wooden bridges are placed below the wire at a dist...Two pulse in a stretched string, whose centers are initially 8 cm apart, are moving towards each other as shown in the f...Given below is the circuit digram of an AM demodulator For good demodulation of AM singal of carrier frequency f, the va...A transverse wave is represented by y = Asin(ωt - kx) . For what value of the wavelength is the wave velocity equal...