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Equation of a progressive wave is given by $y = a sinπ [\frac{t}{2} - \frac{x}{4}],$ where t is in seconds and x is in meters. The distance through which the wave moves in 8 sec is (in meter)

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answer is B.

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Detailed Solution

$v = \frac{Co - efficent of t}{Co - efficent of x} = \frac{1 / 2}{1 / 4} = 2 m / s$

Hence $d = v t = 2 \times 8 = 16 m$

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