The equation of a certain progressive transverse wave is y = 2 sin 2 \(\pi ( \frac{t}{0.01} - \frac{x}{30})\), where x and y are in cm and t in seconds. Calculate the period of the wave.
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Correct Answer: Option B
Explanation:
Compare: Y = 2 sin 2 \(\pi (\frac{t}{0.01} - \frac{x}{30})\)
with the wave equation,
y = A sin 2 \(\pi (\frac{t}{T} - \frac{x}{\lambda}\))
⇒ \(\frac{t}{T} = \frac{t}{0.01}\)
T = 0.010s
Compare: Y = 2 sin 2 \(\pi (\frac{t}{0.01} - \frac{x}{30})\)
with the wave equation,
y = A sin 2 \(\pi (\frac{t}{T} - \frac{x}{\lambda}\))
⇒ \(\frac{t}{T} = \frac{t}{0.01}\)
T = 0.010s