In a dentist's office, an X-ray of a tooth is taken using X-rays that have a frequency of 7.01 1018 Hz. What is the wavelength in vacuum of these X-rays?
period = 1/frequency = (1/7.01)*10^-18
wavelength = 3*10^8 (1/7.01)*10^-18
= .428 * 19^-10
= 4.28 * 10^-11 meters
Why did the X-ray go to the dentist? Because it had a cavity! Now, let me calculate the wavelength for you. We can use the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.
Given that the frequency is 7.01 × 10^18 Hz, we can plug it into the equation and solve for the wavelength.
c = λν
Rearranging the equation, we have:
λ = c / ν
The speed of light, c, is approximately 3.00 × 10^8 m/s. Substituting this value and the given frequency, we get:
λ = (3.00 × 10^8 m/s) / (7.01 × 10^18 Hz)
Now let me calculate this for you!
To find the wavelength of the X-rays, we can use the equation:
wavelength = speed of light / frequency
The speed of light in vacuum is approximately 3.00 x 10^8 meters per second. Thus, the equation becomes:
wavelength = (3.00 x 10^8 m/s) / (7.01 x 10^18 Hz)
Calculating this, we obtain:
wavelength ≈ 4.28 x 10^-11 meters
Therefore, the wavelength of the X-rays is approximately 4.28 x 10^-11 meters.
To find the wavelength in vacuum of the X-rays, we can use the formula:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second.
Therefore, the wavelength in vacuum of the X-rays is:
wavelength = (3.00 x 10^8 m/s) / (7.01 x 10^18 Hz)
Let's calculate it:
wavelength = 4.28 x 10^-11 meters
So, the wavelength in vacuum of these X-rays is approximately 4.28 x 10^-11 meters.