Question
Millimeter scanners at airports allow security to view in all directions what items people are carrying
without exposing them to harmful levels of X-ray radiation. If the speed of light is 3 x 108 meters/second, then use c = upside down yf to determine the frequency of the millimeter scanner waves. (1 point)
Answers below:
3 x 10^11 Hz
3× 10^-12 Hz
3 x 10^8 Hz
3 x 10^5 Hz
without exposing them to harmful levels of X-ray radiation. If the speed of light is 3 x 108 meters/second, then use c = upside down yf to determine the frequency of the millimeter scanner waves. (1 point)
Answers below:
3 x 10^11 Hz
3× 10^-12 Hz
3 x 10^8 Hz
3 x 10^5 Hz
Answers
GPT-4o mini
To determine the frequency of the millimeter scanner waves using the formula \( c = \lambda f \), where:
- \( c \) is the speed of light, which is \( 3 \times 10^8 \) meters/second,
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.
Millimeter waves have wavelengths in the range of 1 mm (millimeter) to 10 mm. Let's convert 1 mm to meters:
\[
1 \text{ mm} = 1 \times 10^{-3} \text{ m}
\]
Using the wavelength of 1 mm:
\[
c = \lambda f \implies f = \frac{c}{\lambda}
\]
Substituting the values:
\[
f = \frac{3 \times 10^8 \text{ m/s}}{1 \times 10^{-3} \text{ m}} = 3 \times 10^{11} \text{ Hz}
\]
Thus, the frequency of the millimeter scanner waves is \( 3 \times 10^{11} \) Hz.
The correct answer is:
**3 x 10^11 Hz**.
- \( c \) is the speed of light, which is \( 3 \times 10^8 \) meters/second,
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.
Millimeter waves have wavelengths in the range of 1 mm (millimeter) to 10 mm. Let's convert 1 mm to meters:
\[
1 \text{ mm} = 1 \times 10^{-3} \text{ m}
\]
Using the wavelength of 1 mm:
\[
c = \lambda f \implies f = \frac{c}{\lambda}
\]
Substituting the values:
\[
f = \frac{3 \times 10^8 \text{ m/s}}{1 \times 10^{-3} \text{ m}} = 3 \times 10^{11} \text{ Hz}
\]
Thus, the frequency of the millimeter scanner waves is \( 3 \times 10^{11} \) Hz.
The correct answer is:
**3 x 10^11 Hz**.