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If you wish to detect details of the size of atoms (about 1×10-10m) with electromagnetic radiation, it must have a wavelength of about this size. (a) What is its frequency? (b) What type of electromagnetic radiation might this be?

Short Answer

Expert verified
  1. The frequency is 3×1018HZ .

b. The electromagnetic radiation produced is X-ray

Step by step solution

01

Definition of frequency

The number of waves that travel through a particular point in a given amount of time is referred to as frequency.

02

Given information and Formula to be used

λ=1×10-10mc=3×108m/s

For an electromagnetic wave, the relationship between propagation speed, wavelength, and frequency is given by,

c=´Úλ…â¶Ä¦â¶Ä¦â¶Ä¦..(1)

03

Calculate the frequency if you wish to detect details of the size of atoms (about 1×10-10m ) with electromagnetic radiation, it must have a wavelength of about this size?

a)

Substitute the given data in equation (1), and we get,

3×108m/s=f×1×10-10mf=3×108m/s1×10-10mf=3×1018HZ

Therefore, the frequency is 3×1018HZ

04

What type of electromagnetic radiation might this be?

(b)

We have a frequency of X-rays equal to 3×1018HZ. So, the electromagnetic radiation produced is X-ray.

Therefore, the electromagnetic radiation produced is X-ray.

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