Question

Review 1 Constant. Periodic Table ▼PartA The figure shows the light intensity on a screen behind a double t. The sit spacing is 0.22 mm and the screen is 2.2 m behind the silits (Figure 1) What is the wavelength of the light? Express your answer in nanometers As 10.50 Figure 1 of 1 Previous Answers Beavest Anewer X Incorrect; Try Again Intensity (mWim2 12 《Return to Assignment Provide Feedback 2.0 cm MacBook Air 2 MOS

Answer 1

given

we know from young's double slit experiment the distance from the center of the central fringe to the mth bright fringe is 'y' given by

   y = m*Lambda*D/d
where lambda is wavelength of the light used
   D is distance from the slit to screen

   d is separation of the slits

here d = 0.22mm = 0.22*10^-3 m
   D = 2.2 m
   y = 1 cm = 0.01 m
   and m = 2

substituting the values for wavelength

   lambda = y*d/(m*D)

   lambda = (0.01*0.22*10^-3)/(2*2.2) m
  
   lambda = 5*10^-7 m

   lambda = 500*10^-9 m  

   lambda = 500 nm