After calculating a double slit aperture with the formula d(y/L)=m(Wavelength).

Question

After calculating a double slit aperture with the formula d(y/L)=m(Wavelength). For the equation d is the spacing between slits, y is the distance between second order slots, L is the distance between the laser grating and the screen, and m is the order of the spots on the screen.What would change if you used a double slit aperture with a smaller slit separation distance, d, and performed the experiment exactly the same?

d = 0.00025 m =

L = 0.933 m

y = 0.002 m

= 5.78e-7 m

Calculation

d = (5.78e-7 m* 0.933 m)/0.002 m

This is the first calculation with the numbers plugged into the equation. What would happen if the slit seperation distance was smaller and why?

Explanation / Answer

in double slit experiment  

the condition for constructive interference is d sin theta = m*lambda

we can observe the interference pattern if the separation of the slits is comparable to wavelength of the light used ,

then tan theta = y/L

if theta is small tan thete can be treated as sin theta and the angle theta is very small the value of sin theta can be taken as theta itself

m*lambda = d* sin theta

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