Angle Maxima and nodes and antinodes

[jamieXX96]

Homework Statement

I have attached the problem...

Homework Equations

dsin($\theta$) = $\lambda$m

The Attempt at a Solution

(0.00003m)(sin($\theta$)) = (0.000000550m)(2) ------------> 2.10^o
(0.00003m)(sin($\theta$)) = (0.000000550m)(3) ------------> 3.15^o


I looked through my textbook, but the only piece that I could find about nodes/anti-nodes was the diagram that I attached. Can someone explain how I draw them/what they are?

THANKS SO MUCH!

 

[tiny-tim]

welcome to pf!

hi jamieXX96! welcome to pf!

replace those red wavy lines by red straight lines …

the https://www.physicsforums.com/library.php?do=view_item&itemid=190" path difference is the difference in the lengths of the two lines

 

[jamieXX96]

Thanks!
But how would I show how the nodes and anti-nodes are created?

 

[tiny-tim]

for wavelength λ, it's an anti-node if the path difference is … ?