Question

The resolution of a microscope describes the scale of the smallest detail that is clearly observable through the microscope. For a microscope with a moderately high-quality objective lens, the resolution is approximately equal to the wavelength of light used. By this criteria, what is the smallest detail observable with a microscope that uses ultraviolet light of frequency 1.19\times 10^{15}~\text{Hz}1.19×10 ​15 ​​ Hz?

Answer 1

Resolution = Wavelength = 252.101 nm

Step-by-step explanation:

The relation between frequency and wavelength is shown below as:

`c=frequency* Wavelength`

c is the speed of light having value
`3* 10^8\ m/s`

Given, Frequency =
`1.19* 10^(15)\ Hz`

Thus, Wavelength is:

`Wavelength=(c)/(Frequency)`

`Wavelength=(3* 10^8)/(1.19* 10^(15))\ m`

`Wavelength=2.52101* 10^(-7)\ m=252.101* 10^(-9)\ m`

Also, 1 m =
`10^(-9)` nm

So,

Resolution = Wavelength = 252.101 nm