Question

When illuminated with light of wavelength 672 nm (6.72 x 10-7 m), the first dark fringe produced by a single slit lies a distance of 1.4 cm from the center of the screen placed 1.7 m from the slit. (a) How wide is the slit?

Answer 1

slit width a = 0.0406 mm

Step-by-step explanation:

given details

wavelength = 672 nm

width of central fringe = 2Y_1 = 0.014 m

Y_1 = 0.007

\lambda = 6.72*10{-7} m

x = 1.7 m

slid width
`a = (x\lamda)/(Y_1)`

a =
`=(1.7 *6.72*10^(-7))/(0.007)`

slit width a = 4.06*10^{-4} m

slit width a = 0.0406 mm