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A travelling harmonic wave is represented by the equation $y (x, t) = 10^{- 3} \sin (50 t + 2 x),$ where ‘x’ and ‘y’ are in meter and ‘t’ is in seconds. Which of the following is a correct statement about the wave?

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The wave is propagating along the negative x-axis with speed $100 m s^{- 1}$

The wave is propagating along the positive x-axis with speed $100 m s^{- 1}$

The wave is propagating along the positive x-axis with speed $25 m s^{- 1}$

The wave is propagating along the negative x-axis with speed $25 m s^{- 1}$

answer is A.

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Detailed Solution

$V = \frac{w}{K} = \frac{50}{2} = 25 m s^{- 1}$

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