A wave is propagating along \( \mathrm{x} \)-axis. The displacement...

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A wave is propagating along \( \mathrm{x} \)-axis. The displacement of particles of the medium in z-direction at \( \mathrm{t}=0 \) is given by: \( \mathrm{z}=\exp \left[-(\mathrm{x}+2)^{2}\right] \), where ' \( \mathrm{x} \) ' is in meters. At \( \mathrm{t}=1 \mathrm{~s} \), the same wave disturbance is given by:
\( \mathrm{P} \) \( \mathrm{z}=\exp \left[-(2-x)^{2}\right] \). Then, the wave propagation velocity is
(A) \( 4 \mathrm{~m} / \mathrm{s} \) in \( +\mathrm{x} \) direction
(B) \( 4 \mathrm{~m} / \mathrm{s} \) in \( -\mathrm{x} \) direction
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(C) \( 2 \mathrm{~m} / \mathrm{s} \) in \( +x \) direction
(D) \( 2 \mathrm{~m} / \mathrm{s} \) in \( -\mathrm{x} \) direction
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