Solving Double Slit Question with 16.81x10^-19J Energy

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Homework Help Overview

The discussion revolves around a physics problem involving a double slit experiment, specifically focusing on the energy of photons and their wavelength. The original poster seeks assistance with calculations related to photon energy and wavelength, given a specific energy value and slit separation distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conversion of photon energy from joules to electron volts and the calculation of wavelength using the energy-frequency relationship. There are attempts to clarify the use of Planck's constant and the relationships between energy, frequency, and wavelength.

Discussion Status

Some participants have provided hints and references to fundamental concepts, while others have shared their calculations and expressed confusion about specific steps. The discussion includes various interpretations of the problem, with no clear consensus on the correct approach yet.

Contextual Notes

There is a noted correction regarding the separation distance of the slits, which impacts the calculations. Participants are also grappling with the implications of the detector array's placement in relation to the interference pattern.

physics_06er
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Hello

Could someone please help me with this question,,I have no idea how to work it out and have looked through my textbook/notes and arrrr still can't do it...

A beam of photons encounters a double slit that has a separation distance d = 34.0 μm. Note: the diagram is not drawn to scale...(the diagram just shows a slit with a detector array 'x' meters away)

a)...if a single photon in the beam has an energy of 16.81x10^-19J what is it's energy in eV?

I calculated that to be 10.5eV but then its the next one I can't do as I have no other info. besides separation distance and energy!

b) What is it's wavelength?
??

Any help would be much appreciated
Thank you
physics_06er
 
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You have to show your work here first.

The two questions are very easy. Go through your Modern Physics textbook/course notes again...you're missing something.
 
I think this is enough of a hint: there was a guy named Max Planck...
 
Chi Meson said:
I think this is enough of a hint: there was a guy named Max Planck...

:smile: :smile: :smile: And he lived in a land far far away... :-p

~H
 
Hootenanny said:
:smile: :smile: :smile: And he lived in a land far far away... :-p

~H
Then one day, the morning after the ultraviolet catastrophe erupted...
...
nah!

Sorry, back to the thread. What is the thing Planck is most remembered for?
 
Chi Meson said:
Then one day, the morning after the ultraviolet catastrophe erupted...
...
nah!

Yes, I think this thread has become a little tangental. We should wait for the OP to return before we continue our story :biggrin:

~H
 
Hi there

Thanks for the help

so I just found Freq using E=hf and then wavelength using c=f.lamda coming up with 1.18e-7m

Thanks again
physics_06er

...You guys can carry on your story if you wish :approve:
 
Hello there...so I worked out how to to the angle question...however can someone pls check my working...by the way I made a mistake in my first post the separation distance is 38.0micrometres

...so to find the freq. i used E/h ..16.81e-19/6.63e-19=2.535444947Hz then I went 3e8/2.535444947 and got 118322427.1 (its in meters right)..well the answer says 0.118nm? What have I done wrong...

Next for the angle question i used dsintheta=(m+0.5)lamda and got an angle of 0.089...however this is when I use the answer they have given me...someone please tell me where I have gone wrong?
 
Last edited:
seems my angle question was deleted...but the question was if the detector array is placed 3.0m behind the double slit determine:...the angle m=0 destructive interference which is the one I have answered above---and also this one I have NO idea how to do...determine the distance above the center of the interference pattern..I don't even know what they are asking?
 
  • #10
physics_06er said:
...so to find the freq. i used E/h ..16.81e-19/6.63e-19=2.535444947Hz then I went 3e8/2.535444947 and got 118322427.1 (its in meters right)..well the answer says 0.118nm? What have I done wrong...


re-check your value for h... I haven't done the calculations, but it should put you in the right ball park
 

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