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Wave and Particle Motion of Waves

ntIn a wave t...

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ntIn a wave travelling along x-axis the displacement of particles is given by z=Asink(x-2) at t=1sec where x is in metre. Also displacement of particle is z=Asink(x+3) at t=2sec find the velocity of waven

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A wave is propagating along x axis. The displacement of the particles of the medium in z direction at t = 0 is given by $z = e^{- (x + 2)^{2}}$ "x" is in metres. At t=1s, the same disturbance is given by $z = e^{- (x - 2)^{2}}$ . Find magnitude and direction of wave propagation velocity.

Q. A wave is propagating along x-axis. The displacement of particles of the medium in Z-direction at

t = 0

z = e x p [- (x + 2)^{2}]

'x' is in meters. At

t = 1 s

, the same wave disturbance is given by:

z = e x p [- (2 - x)^{2}] .

Then, the wave propagation velocity is

Q. The displacement function of a wave travelling along positive x-direction is

y = \frac{1}{2 + 3 x^{2}}

at t = 0 and by

y = \frac{1}{2 + 3 (x - 2)^{2}}

at t = 2s, where y and x are in metre. The velocity of the wave is

Q. A particle is moving along x-axis. It

x - t

graph is given below-
Find:
(i) Displacement in

8 s e c

(ii) Distance in

8 s e c

(iii) Average velocity in

8 s e c

(iv) Velocity at

t = 1 s e c

Q. A particle moves along x-axis and its displacement at any time is given by

x (t) = 2 t^{3} - 3 t^{2} + 4 t

in SI units. The velocity of the particle when its acceleration is zero, is:

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