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

Question

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

anonymous · Answer

@IrishBoy123 @Michele_Laino

anonymous · Answer

4.5 mm

anonymous · Answer

Can you explain to me how to solve it.

irishboy123 · Answer

@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