Simple question about problem about Heisenberg's Uncertainty Principle

s3a

Mar 2009
129
0
For the attached problem, shouldn't Δx ~ λ/sinθ be Δx ~ λ/sinθ - -λ/sinθ = 2λ/sinθ instead such that the final answer is Δx Δp_x ~ 8πħ?

The problem (along with its solution) is attached.
 

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