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zimovet [89]
3 years ago
10

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?
Physics
1 answer:
VikaD [51]3 years ago
7 0

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,

<u>Resolution = Wavelength = 252.101 nm</u>

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