Final answer:
The wavelength of a wave with a frequency of 3 x 10^9 Hz is 0.1 meters, using the formula λ = c/f where c is the speed of light (3.00 x 10^8 m/s) and f is the frequency.
Step-by-step explanation:
To find the wavelength of a wave when given the frequency, we use the formula c = fλ, where c is the speed of light (3.00 × 108 m/s), f is the frequency, and λ is the wavelength we want to determine. In your case, with a frequency of 3 x 109 Hz, the equation for wavelength (λ) would be rearranged to λ = c/f.
Plugging in the values gives us λ = (3.00 × 108 m/s) / (3 x 109 Hz), which simplifies to λ = 0.1 meters. Therefore, the wavelength of a wave with a frequency of 3 x 109 Hz is 0.1 meters.
The relationship between wavelength and frequency is given by the equation c = fλ, where c is the speed of light (approximately 3.00 × 10^8 m/s) and λ is the wavelength. To find the wavelength, we can rearrange the equation as λ = c/f. Given that the frequency is 3 × 10^9 Hz, we can substitute the values into the equation to find the wavelength.
λ = (3.00 × 10^8 m/s) / (3 × 10^9 Hz) = 0.1 meters.
Therefore, the wavelength of the wave with a frequency of 3 × 10^9 Hz is 0.1 meters.