Question

Monochromatic light passes through two slits separated by 2.2\:x\:10^{-5}\:m and produces an interference pattern where the second order maximum is \small 3.4^\circ from the center of the screen. What is the wavelength of the light? 477 nm 555 nm 597 nm 652 nm?

477 nm

  

555 nm

  

597 nm

  

652 nm

Answer 1

sin(x) =m*lambda/d

for second order maxima, we get

sin(x) =2*lambda/d

sin(3.4) = 2*lambda/(2.2*10^-5)

lambda = 652*10^-9 m = 652 nm