Question

How long does it take for a sound wave of frequency 2 khz and a wavelength of 35 cm to travel a distance of 1.5km?

a) 3 sec
b) 2.3 sec
c) 1.9 sec
d) 2.1 sec

Answer 1

The time it takes for a sound wave of frequency 2 kHz and a wavelength of 35 cm to travel a distance of 1.5 km can be calculated using the formula Time = Distance / Speed. After converting the wavelength to meters and calculating the speed of the sound wave, we find that it takes approximately 2.14 seconds.

Step-by-step explanation:

To find the time it takes for a sound wave to travel a distance, we can use the equation:

Time = Distance / Speed

Given that the frequency of the sound wave is 2 kHz and the wavelength is 35 cm, we need to first convert the wavelength to meters:

Wavelength = 35 cm = 0.35 m

Next, we can calculate the speed of the sound wave using the formula:

Speed = Frequency x Wavelength

Speed = 2,000 Hz x 0.35 m = 700 m/s

Now, we can plug the values into the time formula:

Time = 1.5 km / 700 m/s = 2.14 seconds

Therefore, the correct answer is option d) 2.1 sec.