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

Answer: The frequency of the given light is
`7.05* 10^(16)s^(-1)`

Step-by-step explanation:

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

`\\u=(c)/(\lambda)`

where,

`\lambda` = wavelength of the light =
`4.257* 10^(-7)cm=4.257* 10^(-9)m` (Conversion factor: 1 m = 100 cm)

c = speed of light =
`2.998* 10^8m/s`

`\\u` = frequency of light

Putting values in above equation, we get:

`\\u=(3* 10^8m/s)/(4.257* 10^(-9)m)\\\\\\u=7.05* 10^(16)s^(-1)`

Hence, the frequency of the given light is
`7.05* 10^(16)s^(-1)`

Answer 2

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!