Answer
$3.79\times10^{-5}m$.
Work Step by Step
Use equation 36.3 because the angle is small.
$$y_1=\frac{x \lambda}{a}$$
$$a=\frac{x \lambda}{y_1}=\frac{(0.600m) (546\times10^{-9}m)}{8.65\times10^{-3}m}=3.79\times10^{-5}m $$
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