Atomic clock: energy between two levels

  • #1
22
1

Homework Statement


With the atomic clock a second is defined as the time it takes for EM radiation to oscillate 9192631770 times, which equals the energy gap between two energy levels of a caesium-133 atom. Note: it's a translation and the term used with the oscillation is "oscillation periods"

Homework Equations


Calculate the energy difference (in eV)

The Attempt at a Solution


[/B]
At first I took the expression "oscillation periods" to mean that I had to use the T=1/f relation and insert it in the E=hf equation. However since T is in seconds and f means turns or oscillations, I went with f=9192631770.

So, I have:
E = hf
= 6.626*10^(-34) Js * 9192631770 /s
= 6.091*10^(-24) J
= 3.8 * 10^(-5) eV

I just hope to check whether I made the right assumptions and conversions, thank you.
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,571
6,447

Homework Statement


With the atomic clock a second is defined as the time it takes for EM radiation to oscillate 9192631770 times, which equals the energy gap between two energy levels of a caesium-133 atom. Note: it's a translation and the term used with the oscillation is "oscillation periods"

Homework Equations


Calculate the energy difference (in eV)

The Attempt at a Solution


[/B]
At first I took the expression "oscillation periods" to mean that I had to use the T=1/f relation and insert it in the E=hf equation. However since T is in seconds and f means turns or oscillations, I went with f=9192631770.

So, I have:
E = hf
= 6.626*10^(-34) Js * 9192631770 /s
= 6.091*10^(-24) J
= 3.8 * 10^(-5) eV

I just hope to check whether I made the right assumptions and conversions, thank you.
Your answer matches the one here: http://hyperphysics.phy-astr.gsu.edu/hbase/acloc.html
 
  • Like
Likes Jillds

Related Threads on Atomic clock: energy between two levels

  • Last Post
Replies
6
Views
2K
Replies
3
Views
463
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
7K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
4
Views
621
Replies
10
Views
9K
Replies
2
Views
2K
Replies
3
Views
5K
Top