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WAEC Physics 2013 Paper

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Question : 21

Total: 46

The equation of a certain progressive transverse wave is y = 2 sin 2

\pi \left( \; \frac{t}{0.01} - \; \frac{x}{30} \right)

, 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

Solution:

Compare: Y = 2 sin 2 $\pi \left( \; \frac{t}{0.01} - \; \frac{x}{30} \right)$

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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