The interference of light and diffraction

AI Thread Summary
The discussion focuses on calculating the path difference (Δr) in light interference patterns. For a dark region at point P, the path difference is typically a half-integer multiple of the wavelength (λ), while for a bright region, it is an integer multiple. A participant suggests that for part B, the path difference is 2λ, which is confirmed as correct. The thread emphasizes understanding the relationship between path difference and the resulting light interference patterns. Overall, the discussion aims to clarify the concepts of diffraction and light interference in relation to specific scenarios.
Sox281212
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Homework Statement


https://fbcdn-sphotos-h-a.akamaihd.net/hphotos-ak-xft1/v/t1.0-9/11161364_10206082495958864_2429387894279713850_n.jpg?oh=40982e4e4e7647918991060b6f630acc&oe=55C1808A&__gda__=1439347320_8abd4b5ce66baee04bbc345aef15ec68
In terms of the wavelength of the light λ, what is the value for the path difference x = r1 – r2 if at the point P on the screen there is:

a. a dark region (and no other dark region between O and P)?

b. a bright region, with one other bright region between O and P?

Homework Equations


x = Δr = d sinƟ

The Attempt at a Solution


I don't understand this at all? could someone give me a pointer to begin with please, thanks!
 
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update:
okay i think for part B, Δr= 2λ ? could someone confirm if this is correct or incorrect?? thanks!
 
Sox281212 said:
update:
okay i think for part B, Δr= 2λ ? could someone confirm if this is correct or incorrect?? thanks!
Yes.
 

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