- The speed of a wave (v) is given by the product of its frequency (f) and wavelength (λ): v = f λ. - The distance travelled (d) is given as 150 times the wavelength: d = 150λ. - The relationship between speed, distance, and time (t) is v = d / t. - Combining these equations, we get: f λ = (150λ) / t. - We can cancel out λ from both sides (assuming λ is non-zero): f = 150 / t. - We are given the frequency f = 300 Hz. - Rearranging the equation to find t: t = 150 / f. - Substituting the value of f: t = 150 / 300 = 0.5 s.
A sound wave having frequency of 300 Hz is travelling in an unknown medium. Its wavelength is not known. It travels a distance equal to 150 times its wavelength in time t. The value of t is :
Asked in UPSC CDS 2 2024 · Topic: Sound (Energy and Intensity of Sound Waves)
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