physics

Wavelength in a Closed Column

Here is the prompt: We place a speaker near the top of a drinking glass. The speaker emits sound waves with a frequency of 3.75 kHz. The glass is 14.1 cm deep. As I pour water into the glass, I find that at certain levels the sound is enhanced due to the excitation of standing sound waves in the air inside the glass. Find the minimum depth of water at which this occurs (distance from surface of water to bottom of glass). The standing sound wave has a node at the surface of the water and an antinode at the top of the glass. Assume that the antinode is exactly at the top of the glass. The speed of sound in air is 343 m/s
My Work: So the distance between a node and an antinode is wavelength/4, so I calculate wavelength via lambda=v/f, converting 3.75 kHz to 3750 Hz. This gives wavelength equal to 0.091466667m. I then take 14.1 cm, convert it to 0.141 m, and subtract the 0.091466667/4 from it to get the depth of the water, which is 0.118133333 m, or 11.8 m. Which is wrong.

  1. 👍 0
  2. 👎 0
  3. 👁 186
asked by David

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    The first and second resonant lengths of an air column that is closed at one end are 15.5 cm and 45.5 cm, respectively. What is the best value for the wavelength?

    asked by Marty on April 26, 2008
  2. Physics-Resonance

    A 3.00 m long pipe is in a room where the temperature is 20 C. What is the fundamental frequency if the pipe is closed at one end? Would this count as an open pipe still, or a closed pipe? This is what I did. Wavelength = 2L/n

    asked by Dan on February 14, 2011
  3. physics 2

    How much higher will mercury stand in the open arm in a J-Tube manometer, if air column in the closed arm is reduced to 4 cm, the mercury id at the same level in both open and closed arms when the air column in the closed arm is

    asked by prince on December 4, 2016
  4. Anyone please help (language arts)

    2. What do the tomato seeds in “In Response to Executive Order 9066” most likely represent? a. the speaker’s anger at her friend b. the speaker’s excitement about moving to a new place c. the speaker’s love for her

    asked by Felicia on January 24, 2014
  5. Language Arts

    2. What do the tomato seeds in “In Response to Executive Order 9066” most likely represent? a. the speaker’s anger at her friend b. the speaker’s excitement about moving to a new place c. the speaker’s love for her

    asked by Felicia on January 24, 2014
  6. Chemistry

    'Place the letter of th item in Column II on th line before its best match in Column I' Column I: 37. moderator 38. coolant 39. control rod 40. critical mass Column II: a. removes heat from reactor b. slows neutrons produced by

    asked by mysterychicken on October 29, 2010
  7. physics

    A tube of uniform cross sectional area closed at one end contain some dry air which is sealed by a thread of Mercury 15.5cm long.when the tube is held vertically with the closed end at the bottom the air column is 22.0cm long, but

    asked by poppy👌🤔 on May 6, 2019
  8. Physics HELP!!

    1. What is the longest wavelength for standing sound waves in a 133.9cm long tube that is open at both ends? b).What is the second longest wavelength? c).What is the third longest wavelength? d).What is the longest wavelength for

    asked by joane on November 30, 2012
  9. Statistics

    I have a chart that has 4 columns across the top and 33 going down. The colunms on the top read: predicted number, selected number, (col 1 - col2)^2, and the mean of x. Their are 32 predicted numbers and 33 selected numbers. I

    asked by Hannah on June 30, 2011
  10. Statistics(Urgent!Please help)

    I have a chart that has 4 columns across the top and 33 going down. The colunms on the top read: predicted number, selected number, (col 1 - col2)^2, and the mean of x. Their are 32 predicted numbers and 33 selected numbers. I

    asked by Hannah on July 1, 2011

More Similar Questions