The relationship between the speed v, frequency f and wavelength of a wave is
Correct answer: B. v equals f times wavelength
- A. v equals f divided by wavelength
- B. v equals f times wavelength
- C. v equals wavelength divided by f
- D. v equals f plus wavelength
Explanation
In one period the wave advances exactly one wavelength, so dividing wavelength by period gives the speed, and since frequency is the reciprocal of period this becomes v equals f multiplied by wavelength. Speed is fixed by the medium, so raising the frequency shortens the wavelength in proportion. That inverse relationship is the point most questions turn on.
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About Wave Speed
Wave speed is the rate at which a disturbance or wave pattern travels through a medium, given by v = fλ, where f is frequency and λ is wavelength. Questions examine how speed changes between media, the relation among frequency, wavelength and period, and why wave speed is not the same as particle vibration speed.
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