What is the frequency of X-rays of 10 nm wavelength?
6 x 10^16 Hz
3 x 10^16 Hz
3.00 Hz
6 x 10^8 Hz
f=c/λ=3•10⁸/10⁸ =3Hz
f=c/λ=3•10⁸/10⁻⁸ =3Hz
To find the frequency of X-rays with a wavelength of 10 nm, we can use the equation:
frequency = speed of light / wavelength
The speed of light is approximately 3 x 10^8 meters per second. To convert the wavelength of 10 nm to meters, we divide by 10^9 since there are 10^9 nanometers in a meter.
So, the wavelength in meters is 10 nm / 10^9 = 1 x 10^(-8) meters.
Now, we can substitute it into the equation:
frequency = (3 x 10^8 meters/second) / (1 x 10^(-8) meters) = 3 x 10^16 Hz.
Therefore, the frequency of X-rays with a wavelength of 10 nm is 3 x 10^16 Hz. So, the correct answer is option B: 3 x 10^16 Hz.
To determine the frequency of X-rays with a wavelength of 10 nm, we can use the equation:
v = c / λ
where v is the frequency, c is the speed of light (approximately 3.00 x 10^8 m/s), and λ is the wavelength.
First, we need to convert the wavelength from nm to meters. There are 10^9 nm in 1 meter, so we divide 10 nm by 10^9 to get the wavelength in meters:
λ = 10 nm / 10^9 m/nm = 10^-8 meters (or 1 x 10^-8 meters)
Now we can substitute the values into the equation:
v = (3.00 x 10^8 m/s) / (1 x 10^-8 meters)
= 3.00 x 10^16 Hz
Therefore, the frequency of X-rays with a wavelength of 10 nm is 3.00 x 10^16 Hz. The correct answer is:
3 x 10^16 Hz