A plane progressive wave is represented by the equation y = 0.2sin (200πt - 0.5.x) where x and y are measured in cm and t in s. What is the frequency of the wave?
a
0.5Hz
b
4.0Hz
c
10.0Hz
d
100.0Hz
e
200.0Hz
Explanation
Correct Option
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Discussions (6)
Leinad321
3 years ago
Original wave equation is
Y=Asin(2πft-kx)
While the given equation is
y = 0.2sin (200πt - 0.5.x)
So by comparison
200πt=2πft
So making f the subject of formula then
F=200πt/2πt
Divide
F=100Hz.🤝
Oluwashida
9 years ago
From the general formula, we derive 200Πt=2Πft. So from here frequency (f )= 100.0Hz. option C.
My school that option C should be 100.0Hz not 00.0Hz
