The time taken by a sound wave of frequency 1000 Hz and wavelength 50 cm to travel a distance of 500 m is :

Foundation

Physics Foundation

Human Eye And Colorful World

Question

1.5 s

3 s

2 s

1 s

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The speed of sound (v) is given by the product of frequency (f) and wavelength (λ): $v = f \times λ$ . Given f = 1000 Hz and λ = 50 cm = 0.5 m, the speed is $v = 1000 \times 0.5 = 500 m / s$ . Time (t) to travel distance (d) = 500 m is calculated by $t = \frac{d}{v} = \frac{500}{500} = 1 s$ .

Final Answer: 1 s