How Do You Calculate the Width of a Gap Affecting Radio Reception?

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Homework Help Overview

The discussion revolves around two physics problems: one involving radio reception affected by a gap between buildings and another concerning the index of refraction in a Michelson-Morley interferometer setup. The first problem relates to wave interference and diffraction, while the second involves light behavior in different media.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply principles of single slit diffraction to determine the width of the gap affecting radio reception, expressing confusion over multiple angles and distances calculated. For the interferometer problem, they mention the relationship between the speed of light and refractive index but are uncertain about how to proceed with the calculations.

Discussion Status

Participants are engaging with the problems, with some expressing urgency for assistance. There is a mix of attempts to clarify concepts and questions about the setup and calculations, but no consensus or clear direction has been established yet.

Contextual Notes

The original poster emphasizes the urgency of their request for help, which may influence the pace and nature of responses. They have also indicated a lack of confidence in their drawings related to the problems.

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REALLY URGENT! Please help me with these Physics problems!

Question1: You are driving down the road in your car and you notice that your favorite radio station that you are listening to, 95.7 MHz, is going in and out. You look out and over and you see two long buildings with a gap in them. You know that you are a distance of 100 meters from the buildings. As you pass directly across from the gap in the buildings, you notice that the readio reception is the strongest. From there it continually get worse and worse until you have traveled 17.6 meters where there is no reception. It then comes back in but goes out agian after traveling 37.1 meters from the center point (19.5 m further down the road), and it goes out agian at 61.1 meters from where you started measuring.
What is the width of the gap between the buildings?

**okay, so I know that D*sin theta = m*lmabda, fequency is also 95.7 MHz and lamda=c/f. It's just like Single Slit Diffraction. So I calculated all the angles theta in order to find D, but now I've got a bunch of angles and many Ds, am I heading the right direction?? it seems all complicated and worng, can someone please tell me how can i get the D (distance between the buildings) that I want?

Question 2:
This is a Michelson-Morley Interferometer (Diagram not part of the question):
Image28.gif

Question: A glass container is placed along arm 2 (the arm right above L_A in the diagram) of the interferometer. The glass container is 1 cm long (you may ignore the thickness of the glass).
At first, the container is empty and the mirror along the horizontal line (the mirror that is placed vertically) is adjusted so that a bright fringe is observed at the detector. Now, a gas of unknown index of reflection is slowly allowed to enter to container. During the time this occurs, 1624 changes between bright and dark are observed to occur while it is filling up. The source is known to have a wavelength of 550 nm. What is the index of refraction for this gas?

**I know that The speed of light in a medium of refractive index n is given by v = c/n where c is the speed of light in a vacuum. but I don't know to solve the whole thing.

Question 3: I've attached the picture and the quesiton, I've tried drawing it, but it looks too wrong, but i have no idea how to make it look right.

This is REALLY URGENT, Please help me! Thanks.
 

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someone please help this is really urgent, I only need help with question 1 and 2
 


You need to be patient: it's Saturday!
 


cristo said:
You need to be patient: it's Saturday!

:) sorry! It's like really really urgent, that's why I'm asking.
 

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