Answer :
The velocity of a wave with a frequency of [tex]30,000 Hz[/tex] and a wavelength of [tex]5.0[/tex] meters is (B) [tex]150,000 m/s[/tex]
The equation can be used to determine a wave's velocity.[tex]v = f\times \lambda[/tex],
where
- [tex]v[/tex] is the velocity
- [tex]f[/tex] is the frequency
- [tex]\lambda[/tex] is the wavelength.
Given the frequency of the wave is [tex]30,000 Hz[/tex] and the wavelength is [tex]5.0[/tex] meters, The velocity can be determined using the formula below:
[tex]v = f \codt \lambda \\v = 30{,}000 \, \text{Hz} \cdot 5.0 \, \text{m} \\v = 150{,}000 \, \text{m/s}[/tex]
As a result, the wave's velocity is [tex]150,000 m/s[/tex]
Final answer:
The velocity of a wave with a frequency of 30,000 Hz and a wavelength of 5.0 m is calculated using the formula v = f x λ, leading to a velocity of 150,000 m/s.
Explanation:
The velocity of a wave traveling through a medium is determined by the equation v = f x λ, where 'v' represents velocity, 'f' the wave's frequency, and 'λ' the wavelength. If a wave with a frequency (f) of 30,000 Hz and a wavelength (λ) of 5.0 m is being considered, we can use this equation to calculate the velocity. Substituting these values into the equation, we have v =30,000 Hz x 5.0 m, which gives a velocity (v) of 150,000 m/s.
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