Bats chirp at a high frequency which humans cannot hear. They use the echoes to detect small objects, such as insects, as small as one wavelength. If a bat were to emit a chirp at a frequency of 60.0 kHz and the speed of sound waves in the air are 340 m.s, what is the size in millimeters of the smallest insect that the bat can detect?

All I'm looking for is confirmation that I correctly solved the problem. I know that I can use the formula: λ(wavelength) = v/f

When I put in the numbers it gives me 5.666666666666667, which I then round up to 5.7.

Is 5.7m the correct answer?

You didn't convert the frequenzy from kKz to Hz. And don't forget to convert your answer to millimeter

can anyone just actually answer it thnxxxx

To find the size in millimeters of the smallest insect that a bat can detect, we need to calculate the wavelength of the bat's chirp at a frequency of 60.0 kHz and then convert it to millimeters.

1. First, let's calculate the wavelength of the sound wave:
- The speed of sound waves in air is given as 340 m/s.
- The frequency of the bat's chirp is 60.0 kHz, which can be converted to 60,000 Hz.
- The formula to calculate wavelength is λ = v/f, where λ is the wavelength, v is the velocity, and f is the frequency.
- Substituting the values: λ = 340 m/s / 60,000 Hz.

2. Convert the wavelength from meters to millimeters:
- Since we want the answer in millimeters, we need to convert the wavelength from meters to millimeters.
- 1 meter is equal to 1,000 millimeters.

3. Calculate the size of the smallest insect the bat can detect:
- The size of the smallest insect the bat can detect is equal to one wavelength.
- Substitute the calculated wavelength into the formula: size = λ.

Let's now calculate the size in millimeters of the smallest insect:

λ = 340 m/s / 60,000 Hz
λ ≈ 0.00567 meters

Converting meters to millimeters:
0.00567 meters × 1,000 millimeters/meter ≈ 5.67 millimeters

Therefore, the size in millimeters of the smallest insect the bat can detect is approximately 5.67 millimeters.