Modifying Slit Separation for Seeing Fringes Again | 65 Characters

AI Thread Summary
Increasing slit separation results in fringes being formed closer together, complicating visibility. To maintain clear resolution, the wavelength of light must be increased to achieve a larger theta, which is essential for the eye's resolving power. The discussion emphasizes that while the resolving power remains constant, adjustments in wavelength are necessary for clarity. The original confusion stems from differing interpretations of how slit separation and wavelength interact. Ultimately, understanding these relationships is crucial for resolving the visibility of fringes.
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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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