Question on: JAMB Physics - 2022
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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