WAEC - Physics (2013 - No. 21)

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.
0.001s
0.010s
10.000s
100.000s

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

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