Question

The wavelength of light in the infrared region is 4.257 X 10 ⁻⁷cm. What is the frequency of this light? SHOW WORK

Answer 1

For light travelling in vacuums, ALWAYS use this equation:
c = (wavelength) * (frequency)
c is a constant, speed of light = 3 x 10^8 m/s

make sure all units are consistent!

so frequency = c / (wavelength) = ( 3 x 10^8 m/s ) / (4.257 x 10^ -9 m )
plug it into your calculator and you're done!

Answer 2

Answer: The frequency of the given light is $7.05\times 10^{16}s^{-1}$

Explanation:

To calculate the frequency of light, we use the equation:

$\nu=\frac{c}{\lambda}$

where,

$\lambda$ = wavelength of the light = $4.257\times 10^{-7}cm=4.257\times 10^{-9}m$     (Conversion factor: 1 m = 100 cm)

c = speed of light = $2.998\times 10^8m/s$

$\nu$ = frequency of light

Putting values in above equation, we get:

$\nu=\frac{3\times 10^8m/s}{4.257\times 10^{-9}m}\\\\\nu=7.05\times 10^{16}s^{-1}$

Hence, the frequency of the given light is $7.05\times 10^{16}s^{-1}$