To find the wavelength (\(\lambda\)) of a wave, you can use the formula:
\[ \lambda = \frac{v}{f} \]
where:
- \(v\) is the wave speed,
- \(f\) is the frequency.
Given:
- \(f = 0.9 , \text{Hz}\),
- \(v = 154.9 , \text{cm/s}\) (which we can convert to meters per second for standard units: \(v = 1.549 , \text{m/s}\)).
Now, plug the values into the formula:
\[ \lambda = \frac{1.549 , \text{m/s}}{0.9 , \text{Hz}} = \frac{1.549}{0.9} \]
Calculating this gives:
\[ \lambda \approx 1.710 , \text{m} \]
Therefore, the wavelength of the wave is approximately 1.71 meters.
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