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Question
a wave with a frequency of 41 hz has a wavelength of 2.1 meters. at what speed will this wave travel?
answer:
check.
what are the units for this answer?
select one:
m/s
hz
m
Step1: Recall wave speed formula
The formula for wave speed \( v \) is \( v = f \times \lambda \), where \( f \) is frequency and \( \lambda \) is wavelength.
Step2: Substitute values
Given \( f = 41 \, \text{Hz} \) and \( \lambda = 2.1 \, \text{m} \), substitute into the formula: \( v = 41 \times 2.1 \).
Step3: Calculate the product
\( 41 \times 2.1 = 86.1 \).
Wave speed is calculated as frequency (in Hz, which is \( \text{s}^{-1} \)) multiplied by wavelength (in meters). So \( \text{s}^{-1} \times \text{m} = \text{m/s} \). The correct unit is m/s.
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The wave will travel at a speed of \( 86.1 \, \text{m/s} \).
For the units question: