Equation of a progressive wave is given by
$y = 4 \sin \left\{ \pi \left( \frac{t}{5} - \frac{x}{9} \right) + \frac{\pi}{6} \right\}$
Then which of the following is correct
Text Solution
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From the given equation amplitude a = 0.04m
$Frequency = \frac{\text{Co-efficient of t}}{2 \pi} = \frac{\pi/5}{2 \pi} = \frac{1}{10} \text{Hz} \\ \text{Wave length } \lambda = \frac{2 \pi}{\text{Co-efficient of x}} = \frac{2 \pi}{\pi/9} = 18 \text{m}. \\ \text{Wave speed } v = \frac{\text{Co-efficient of t}}{\text{Co-efficient of x}} = \frac{\pi/5}{\pi/9} = 1.8 \text{m/s}.$
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