The distance between two consecutive antinodes of an incident wave is 1 m. If the frequency of the wave is 25 Hz, then the velocity of the wave will be
Correct answer: C. 50 m/s.
- A. 12.5 m/s.
- B. 25 m/s.
- C. 50 m/s.
- D. 100 m/s.
Explanation
* Understand the relationship between antinodes and wavelength: The distance between two consecutive antinodes in a wave is equal to half a wavelength (λ/2). * Given: Distance between two consecutive antinodes = 1 m * Therefore, λ/2 = 1 m * So, the wavelength (λ) = 2 m * Identify the given frequency: * Frequency (f) = 25 Hz * Calculate the velocity of the wave: The formula for the velocity (v) of a wave is: * v = f × λ * v = 25 Hz × 2 m * v = 50 m/s
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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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