A wave has a frequency of 240 Hz and a wavelength of 3.0 m. What is the speed of the wave? Use [tex]V=f \times 2[/tex].
A. [tex]240 m / s[/tex]
B. [tex]80 m / s[/tex]
C. [tex]720 m / s[/tex]
D. [tex]0.012 m / s[/tex]
Answer (2)
Correct the formula for wave speed: V = f × λ .
Substitute the given values: f = 240 Hz and λ = 3.0 m.
Calculate the wave speed: V = 240 \tImes 3 = 720 m/s.
The speed of the wave is 720 m/s .
Explanation
Understanding the Problem We are given the frequency f of a wave as 240 Hz and are asked to find its speed V using the formula V = f × 2 . However, the correct formula for the speed of a wave is V = f × λ , where λ is the wavelength. The problem states that the wavelength λ is 3.0 m.
Applying the Correct Formula Using the correct formula, we have V = f × λ = 240 Hz × 3.0 m .
Calculating the Speed Calculating the speed, we get V = 240 × 3 = 720 m/s .
Final Answer Therefore, the speed of the wave is 720 m/s.
Examples
Understanding wave speed is crucial in many real-world applications. For instance, when designing acoustic systems, engineers need to calculate the speed of sound waves to optimize speaker placement and sound quality. Similarly, in telecommunications, knowing the speed of electromagnetic waves helps in designing efficient antennas and transmission lines. By correctly applying the formula V = f × λ , we can accurately determine wave speeds in various scenarios, ensuring effective system design and performance.
The speed of the wave is calculated using the formula V = f × λ . Substituting the given values, we find that the speed is 720 m/s , making the correct choice C. This calculation is important for understanding wave behavior in various applications.
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