## anonymous one year ago Monochromatic light of 500.0 nm falls on a single slit of width 0.095 mm. The slit is located 85 cm from a screen. How far from the center is the first dark band? 450 mm 0.45 mm 4.48 × 105 mm 4.5 mm

1. anonymous

@IrishBoy123 @Michele_Laino

2. anonymous

4.5 mm

3. anonymous

Can you explain to me how to solve it.

4. IrishBoy123

@SukiLove here's a good summary and anice drawing http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinslit.html so use $$y = \frac{m\ \lambda \ D}{a}$$, were most of the letters are identified on the link you get $$\frac{1 \times \ 500 \times 10^{-9} \ \times 0.85}{95 \times \ 10^{-6}}$$ $$\lambda$$, clearly, is the wavelength of the source light check numbers for yourself before answering