Modifying Slit Separation for Seeing Fringes Again | 65 Characters

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SUMMARY

The discussion centers on the relationship between slit separation and the visibility of interference fringes in a double-slit experiment. It is established that increasing the slit separation results in fringes being formed closer together, necessitating a larger wavelength to achieve clearer visibility of the fringes. The resolving power of the eye remains constant, and thus, adjustments to the wavelength are essential for enhanced clarity in observing the fringes.

PREREQUISITES
  • Understanding of double-slit interference
  • Knowledge of resolving power in optics
  • Familiarity with wavelength adjustments in light
  • Basic principles of angular measurement in radians
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  • Research the principles of double-slit interference patterns
  • Learn about the effects of wavelength on fringe visibility
  • Explore the concept of resolving power in optical systems
  • Study angular measurements and their applications in optics
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desmond iking
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Homework Statement


i can't understand part b ii) , i assume the resolving power of eyes is constant . so when the slit separation increase , the wavelength of the light should be decreased to keep the tetha ( here , tetha = resloving power of eyes in radian )...But the book give different ideas . Can someone explain on this?

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The fringes are formed closer together when the slits are further apart.
The solution calculates when they will just be resolved by the eye, but
not seen "clearly". That is theta need to be increased even more to be
able to see the fringes clearly. If the same double slit is to be used all
that can be done is to increase the wavelength to obtain a larger theta.
 
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