the wavelength of ultraviolet radiation is 400nm. if the speed of light in air is exactly 3*10^8m/s, then the frequency of the ultraviolet radiation is?
a). 1.3*10^-13hz
b). 7.5*10^5hz
c) . 1.2*10^11hz
d) . 7.5*70^14hz?
To find the frequency of ultraviolet radiation, you can use the equation:
speed of light = wavelength * frequency
Given that the wavelength of ultraviolet radiation is 400 nm (which is equivalent to 400 * 10^-9 meters) and the speed of light in air is 3 * 10^8 m/s, we can plug the values into the equation:
3 * 10^8 m/s = (400 * 10^-9 meters) * frequency
Now, solve for frequency:
frequency = (3 * 10^8 m/s) / (400 * 10^-9 meters)
= (3 * 10^8 m/s) * (10^9 / 400)
= 3 * 10^8 m/s * 2.5 * 10^6
= 7.5 * 10^14 Hz
Therefore, the frequency of the ultraviolet radiation is 7.5 * 10^14 Hz.
Hence, the correct answer is (d).