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.
A
0.001s
B
0.010s
C
10.000s
D
100.000s
Verified Correct Answer: B.
Physical Principles & Numerical Solution
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
Source: Myschool Past Questions Archive (Record #35672)