Two particles of a medium disturbed by the wave propagation are at x1=0 and x2=1cm. The respective displacements (in cm) of the particles can be given by the equations: y1=2sin3πt y2=2sin(3πt - π/8) The wave velocity is :
Correct answer: B. 24 cm/sec
- A. 16 cm/sec
- B. 24 cm/sec
- C. 12 cm/sec
- D. 8 cm/sec
Explanation
From the given two equations we take the values of ω and ϕ, then use the values to find wavelength and frequency. The wave speed equation is used to find the speed.
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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