(Intro 1 figure) A radar tower sends out a signal of wavelength . It is meters tall, and it stands on the edge of the ocean. A weather balloon is released from a boat that is a distance out to sea. The balloon floats up to an altitude . In this problem, assume that the boat and balloon are so far away from the radar tower that the small angle approximation holds. (Intro 2 figure)

Part A

Due to interference with reflections off the water, certain wavelengths will be weak when they reach the balloon. What is the maximum wavelength that will interfere destructively?

Express your answer in terms of , , and .

=

Part B

What is the maximum wavelength that will interfere constructively?

Express your answer in terms of , , and .

=

### 4 Answers

Double Slit With Reflections

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Double Slit with Reflections?

(Intro 1 figure) A radar tower sends out a signal of wavelength . It is meters tall, and it stands on the edge of the ocean. A weather balloon is released from a boat that is a distance out to sea. The balloon floats up to an altitude . In this problem, assume that the boat and balloon are so…

2) This is 0. The path length must be the same in order to produce a maxima (i.e. constructive interference.) The linear polariser will plane polarise the light, so that the transmission element gets through, but any reflected light will not. This is due to the ‘wave like’ behaviour of light. I’m not sure what would happen if you changed to Benzene.