Question

The frequency of a given region of the electromagnetic spectrum ranges from 4 × 1014 to 7.5 × 1014 Hz. The speed of light is 2.998 × 108 m/s. Which waves are found in this region? A. microwaves B. infrared rays C. visible light D. ultraviolet rays

Answer 1

C. visible light

Step-by-step explanation:

Answer 2

Calculating wavelengths from given frequency range and the speed of light:

Wavelength corresponding to a frequency of
`4*10^(14)Hz`:

`Wavelength =(Speed of light)/(Frequency)`

`=\frac{2.998*10^(8)m/s} {4*10^(14)Hz } *\frac{10^(9)nm} {1 m}=749.5 nm`

Wavelength corresponding to a frequency of
`7.5*10^(14)Hz`:

`Wavelength =(Speed of light)/(Frequency)`

`=\frac{2.998*10^(8)m/s} {7.5*10^(14)Hz } *\frac{10^(9)nm} {1 m}=399.7 nm`

So the wavelength range will be 749.5 nm - 399.7 nm

This corresponds to the visible region wavelength range.

Hence the correct answer: C. visible light