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The equation for wavelength from a double-slit experiment uses the simplification that Θ is small so...

The equation for wavelength from a double-slit experiment uses the simplification that Θ is small so that sin Θ = tan Θ. Up to what angle is this a good approximation when your data has two significant figures?

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Answer #1

Formula for wavelength from a double slit experiment is given as

  

Given that angle is so small that  

Now we know that

yn is position of nth maxima

L is distance between slit and screen

For a small angle , can be a good approximation only till when angle is equal to 0.2 or 0.25(in radian) because after these values of angle can not be equal to , their values changes when we further increases the angle.

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