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

Answer:

(a) 11000nm

(b) 9.7 * 10^14 Hz

Explanation:

Using velocity = frequency * wavelength

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