Consider the wave equation y 5mm sin 1cm -1 x -... - JAMB Physics 2022 Question
Consider the wave equation y = 5mm sin [1cm\(^{-1}\)x - 60s\(^{-1}\)t]. The wave number is?
A
0.1 cm\(^{-1}\)
B
10cm\(^{-1}\)
C
1.0cm\(^{-1}\)
D
2cm\(^{-1}\)
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Correct Option: C
The wave equation is given by: y = 5mm sin [1cm\(^{-1}\)x - 60s\(^{-1}\)t].
The general form of a wave equation is: y = A sin(kx - ωt)
where:
- k is the wave number
- ω is the angular frequency
By comparing the given equation with the general form, the wave number (k) is the coefficient of x.
Therefore, the wave number k = 1.0 cm\(^{-1}\)
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