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

Answer:

Resolution = Wavelength = 252.101 nm

Explanation:

The relation between frequency and wavelength is shown below as:

$c=frequency\times Wavelength$

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

Given, Frequency = $1.19\times 10^{15}\ Hz$

Thus, Wavelength is:

$Wavelength=\frac{c}{Frequency}$

$Wavelength=\frac{3\times 10^8}{1.19\times 10^{15}}\ m$

$Wavelength=2.52101\times 10^{-7}\ m=252.101\times 10^{-9}\ m$

Also, 1 m = $10^{-9}$ nm

So,

Resolution = Wavelength = 252.101 nm