Light problem -- diffraction grating distance between adjacent bright fringes

  • Thread starter student07
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  • #1
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Homework Statement


Light from a laser with a wavelength of 760 nm is directed at a diffraction grating of 1500 lines/cm. If the diffraction grating is located 1.5 m from the screen, calculate the distance between adjacent bright fringes.

Homework Equations


Δx = Lλ / d
760 nm = 7.60 x 10^-7 m = λ
1.5 = L
1cm/1500 = 6.67 x 10^-6 m = d

The Attempt at a Solution


Δx = (1.5 m)(7.60 x 10^-7 m) / (6.67x 10^-6 m) = 1.71 x 10^-13 m

I'm not sure if this is correct please help.
 

Answers and Replies

  • #2
ehild
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Can it be correct? You see the bright fringes on the screen. Their distances is in the range of mm or cm, Can 10-13 m true???
 
  • #3
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Can it be correct? You see the bright fringes on the screen. Their distances is in the range of mm or cm, Can 10-13 m true???
I saw other people getting 1.72 cm which is 0.0172 m but the the answered I wrote is what I got in the calculator so I'm not sure how they got that
 
  • #4
ehild
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You typed in wrong number in the calculator when you divided by 6.67x10-7.

I guess you did not use parentheses.
 
Last edited:
  • #5
BvU
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Dear sudent,

you want to avoid this kind of disaster by estimating the outcome of a calculation before using an electronic calculator. In this case you divide 7.6 by 6.7 which is a little more than 1, and 10-7 by 10-6 which is 10-1.
Times 1.5 should give a little over 0.15. So your answer is 17.1 cm.
 
  • #6
36
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Dear sudent,

you want to avoid this kind of disaster by estimating the outcome of a calculation before using an electronic calculator. In this case you divide 7.6 by 6.7 which is a little more than 1, and 10-7 by 10-6 which is 10-1.
Times 1.5 should give a little over 0.15. So your answer is 17.1 cm.
actually Ehild was right I did not use parenthesis when I divided by 6.67x10-7 so the actual answer is 0.171 m.

Thank you for your help guys!
 

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