If the wavelength of a wave is 20 cm and its time period is T, what is the distance travelled by a crest on the wave in 1.25T?
Correct answer: B. 25 cm
- A. 30 cm
- B. 25 cm
- C. 15 cm
- D. 40 cm
Explanation
The distance traveled by a crest on the wave in 1.25T can be calculated by using the formula:Distance = Wave speed * TimeTo find the wave speed, we divide the wavelength (λ) by the time period (T):Wave speed (v) = λ / TGiven that the wavelength is 20 cm and the time period is T, we can calculate the wave speed. Then, we can find the distance traveled by a crest in 1.25T:Wave speed (v) = 20 cm / TDistance = Wave speed * (1.25T)Substituting the value of wave speed, we get:Distance = (20 cm / T) * (1.25T)The T in the numerator and denominator cancels out, resulting in:Distance = 20 cm * 1.25Therefore, the distance traveled by a crest on the wave in 1.25T is 25 cm.
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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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