Answer
$L = 1.25~m$
Work Step by Step
We can find the distance from the slit to the screen:
$w = \frac{2~\lambda~L}{a}$
$L = \frac{w~a}{2~\lambda}$
$L = \frac{(0.010~m)(0.15\times 10^{-3}~m)}{(2)~(600\times 10^{-9}~m)}$
$L = 1.25~m$
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