A sound wave has a frequency of 15000 Hz and a wavelength of 9.8 cm. Find the time taken by it (in second) to cover 8.82 km
Question
A sound wave has a frequency of 15000 Hz and a wavelength of 9.8 cm. Find the time taken by it (in second) to cover 8.82 km
Solution
Sure, here's how you can solve this problem:
Step 1: Convert the wavelength from cm to m. 1 m = 100 cm, so 9.8 cm = 0.098 m.
Step 2: Calculate the speed of the sound wave. The speed of a wave is given by the formula: speed = frequency * wavelength. So, speed = 15000 Hz * 0.098 m = 1470 m/s.
Step 3: Convert the distance from km to m. 1 km = 1000 m, so 8.82 km = 8820 m.
Step 4: Calculate the time taken. The time taken by the wave to cover a certain distance is given by the formula: time = distance / speed. So, time = 8820 m / 1470 m/s = 6 seconds.
Therefore, the sound wave will take 6 seconds to cover a distance of 8.82 km.
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