Question:medium

A sound wave has a frequency of 500 Hz and wavelength 80 cm. How long will it take to travel 1 km?

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The speed of sound can be found by multiplying the frequency and wavelength. Use this to find the time for the sound to travel a specific distance.
Updated On: Jan 15, 2026
  • 2.5 seconds
  • 25 seconds
  • 25 minutes
  • 2.5 minutes
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The Correct Option is A

Solution and Explanation

The speed of sound is calculated using: \[\nv = f \times \lambda\n\] Where: - \( f = 500 \, \text{Hz} \) (frequency) - \( \lambda = 80 \, \text{cm} = 0.8 \, \text{m} \) (wavelength) Substituting the values: \[\nv = 500 \times 0.8 = 400 \, \text{m/s}\n\] Time \( t \) to travel 1 km: \[\nt = \frac{\text{distance}}{\text{speed}} = \frac{1000}{400} = 2.5 \, \text{seconds}\n\] Therefore, the answer is 2.5 seconds.
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