Question

(a)what is the wavelength (in nanometers) of light having a frequency of 2.7 x 10^13 Hz?. (b) what is the frequency (in hertz) of light having a wavelength of 310nm?

Answer 1

(a) 11000nm

(b) 9.7 * 10^14 Hz

Step-by-step explanation:

Using velocity = frequency * wavelength

`wavelength = \frac{3.0 * {10}^(8) }{2.7 * {10}^(13) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.1 * {10}^( - 5) m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11000nm \\ \\ frequency = \frac{3.0 * {10}^(8) }{310 * {10}^( - 9) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9.7 * {10}^(14) hz`