Wave Speed Formula Physics | Formula for Wave Speed with Examples
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A wave is the propagation of disturbance that transfers energy through matter or vacuum. A wave is characterized by its wavelength, and/or frequency. Frequency of waves is the number of waves passing past a point in unit time (second) and time period of the wave is its reciprocal. Wavelength is the distance travelled by the wave in one time period. The speed of a wave is related to its wavelength and frequency as \[v = \nu \,\lambda \] Where, v is the velocity of the wave, \[\nu \] is the frequency of the wave and \[\lambda \], its wavelength. Example: What is the speed of a wave that has a wavelength of 0.5 m and frequency 600 Hz? Solution: \[\lambda \]= 0.5 m, \[\nu \]= 600 Hz, v =? v = \[\nu \]×\[\lambda \] = 600 × 0.5 = 300 m/s
Question: A wave travels with a speed v in a medium. If the wave had half the wavelength and twice the frequency, its speed would have been: Options: (a) v (b) 2 v (c) v/2 (d) 4 v Answer: (a)