Interesting Problem, Not sure where to begin.

  • Thread starter Thread starter Mbsams
  • Start date Start date
  • Tags Tags
    Interesting
AI Thread Summary
The discussion revolves around a physics problem involving sound waves entering a window in a theater, where two people positioned along a wall hear no sound. The scenario is identified as a single slit diffraction problem, with calculations suggesting that the first minima occurs at a distance of 10.5 feet from the center of the wall. There is a clarification regarding the use of formulas, with one participant asserting that the formula pertains to the first minima, while another questions if it relates to the first maxima instead. The conversation emphasizes the importance of correctly applying diffraction principles to determine the minimum distance between the two individuals. Understanding the distinction between single and double slit diffraction is crucial for solving the problem accurately.
Mbsams
Messages
2
Reaction score
0
I need some help getting started on this one:

Sound waves of frequency 582 Hz enter a window 1.3m wide.

The window is in the exact center of one wall of a theater 24m by 12m.

The window is 12m from the opposite wall, along which is a row of seats occupied by people.

The theater is acoustically prepared to prevent the reflection of sound waves, and the speed of sound is 330 m/s.

Two people, on each side of a line directly in front of the window, in the row along the wall hear no sound.

What minimum distance are they from each other?
 
Physics news on Phys.org
Mbsams said:
Sound waves of frequency 582 Hz enter a window 1.3m wide.
The window is in the exact center of one wall of a theater 24m by 12m.
The window is 12m from the opposite wall, along which is a row of seats occupied by people. The theater is acoustically prepared to prevent the reflection of sound waves, and the speed of sound is 330 m/s.

Two people, on each side of a line directly in front of the window, in the row along the wall hear no sound. What minimum distance are they from each other?
This is a 'single slit' diffraction problem. The first minima on the far wall will occur at a point x from the middle of the wall where x = \lambda L/a where a is the slit width and L is the distance from the window to far wall.

I get 10.5 feet.

AM
 
Wouldn't that correspond to the first maxima and not minima?
 
Mbsams said:
Wouldn't that correspond to the first maxima and not minima?
I think the formula is for the first minima - this is single slit diffraction. You may be using double slit diffraction. I am sure you can check this.

AM
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...

Similar threads

Replies
2
Views
2K
2
Replies
52
Views
7K
Replies
1
Views
2K
Replies
19
Views
6K
Replies
3
Views
3K
Replies
1
Views
4K
Replies
9
Views
5K
Back
Top