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For progressive wave : $y = (2 c m) s i n (3 t - 4 x)$
Statement-1 : The particle at x = 0 is moving towards positive y–axis at t = 0.
Statement-2 : The particle at x = 8m is in phase with particle at x = 1m.
Statement-3 : The acceleration of particle at $x = \frac{π}{8} m$ at $t = \frac{π}{6}$ sec is increasing in magnitude.
Statement-4 : The velocity of particle at $x = \frac{π}{6} m$ is in direction of propagation of wave at all times.
The CORRECT statement are :

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1 and 3

1, 2 and 3

1, 2, 3 and 4

answer is B.

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Detailed Solution

$V_{P} = - v x$ slope
$x = \frac{π}{8}$ at $t = \frac{π}{6}$
Particle is at mean position

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