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Answer :
We need to find the frequency of the wave using the formula:
[tex]$$
f = \frac{v}{\lambda}
$$[/tex]
where:
- [tex]$v = 242 \, \text{m/s}$[/tex] is the speed of the wave,
- [tex]$\lambda = 0.11 \, \text{m}$[/tex] is the distance between consecutive crests (wavelength).
Substitute the given values into the formula:
[tex]$$
f = \frac{242}{0.11}
$$[/tex]
Performing the division:
[tex]$$
f = 2200 \, \text{Hz}
$$[/tex]
Thus, the frequency of the wave is [tex]$2200 \, \text{Hz}$[/tex], which corresponds to option C.
[tex]$$
f = \frac{v}{\lambda}
$$[/tex]
where:
- [tex]$v = 242 \, \text{m/s}$[/tex] is the speed of the wave,
- [tex]$\lambda = 0.11 \, \text{m}$[/tex] is the distance between consecutive crests (wavelength).
Substitute the given values into the formula:
[tex]$$
f = \frac{242}{0.11}
$$[/tex]
Performing the division:
[tex]$$
f = 2200 \, \text{Hz}
$$[/tex]
Thus, the frequency of the wave is [tex]$2200 \, \text{Hz}$[/tex], which corresponds to option C.
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