HomeworkLib
Question

Two small speakers are separated by a distance of 6 cm, as shown. The speakers are...

Two small speakers are separated by a distance of 6 cm, as shown. The speakers are driven in phase with a sine wave signal of frequency 11 kHz. A small microphone is placed a distance 1.2 m away from the speakers on the axis running through the middle of the two speakers, and the microphone is then moved perpendicular to the axis.

Where does the microphone record the first minimum of the interference pattern from the speakers as measured from the axis? The speed of sound in air is 343 m/s. Do not use the small angle approximation for this problem.

m (from axis)

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

the condition for distrutive interference is

d sin theta = m lamda/2

= 1* v/2f

=1*343/2 (11000)

d sin theta =0.0155

theta = sin^-1 (0.01559/0.06)

=15.06 degree

the position of first minimum is

x= L tan theta

=1.2 m * tan 15.06

=0.322 m

0 0
Add a comment
Know the answer?
Add Answer to:
Two small speakers are separated by a distance of 6 cm, as shown. The speakers are...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • PLEASE SHOW ALL WORK THANKS Microphone - - - - Speakers Click to go forward, hold...

    PLEASE SHOW ALL WORK THANKS Microphone - - - - Speakers Click to go forward, hold to see history Two small speakers are separated by a distance of 6 cm, as shown. The speakers are driven in phase with a sine wave signal of frequency 14 kHz. A small microphone is placed a distance 14 m away from the speakers on the axis running through the middle of the two speakers, and the microphone is then moved perpendicular to the...

  • In the figure, two loudspeakers, separated by a distance of d1 = 2.89 m, are in...

    In the figure, two loudspeakers, separated by a distance of d1 = 2.89 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener, who is d2 = 4.08 m directly in front of one of the speakers. Consider the audible range for normal hearing, 20 Hz to 20 kHz. (a) What is the lowest frequency that gives the minimum signal (destructive interference) at the listener's ear? (b)...

  • Two speakers are separated by two meters in a plane. They are in-phase. They project 891...

    Two speakers are separated by two meters in a plane. They are in-phase. They project 891 Hz sound waves. The speed of sound is 343 m/s. Consider the point 5.0 m in front of one of the speakers, perpendicular to the plane of the speakers. At this point, is there maximum constructive interference, perfect destructive interference, or something in between?

  • Two small stereo speakers are 2 m apart and act as a double slit interference experiment...

    Two small stereo speakers are 2 m apart and act as a double slit interference experiment with sound waves. If the opposite wall of the room is 6 m away and the sound frequency is 2 kHz, what is the distance between the two interference maxima nearest the center of the wall? Assume the speakers act as point sources of sound.

  • Two small stereo speakers are 2 m apart and act as a double slit interference experiment...

    Two small stereo speakers are 2 m apart and act as a double slit interference experiment with sound waves. If the opposite wall of the room is 6 m away and the sound frequency is 2 kHz, what is the distance between the two interference maxima nearest the center of the wall? Assume the speakers act as point sources of sound.

  • 6-1 Two speakers emit sound waves with frequency 4.27 kHz s pts by the same oscillator...

    6-1 Two speakers emit sound waves with frequency 4.27 kHz s pts by the same oscillator so that they are in phase with each other. I place the They are driven speakers side-by-side, and I stand across the room from them. If someone moves one of the speakers towards me, I hear the total intensity drop and then rise again. How far had they moved the speaker at the point whereI heard a minimum intensity due to destructive interference of...

  • Two small speakers are located so that one is 45 cm closer to the listener than...

    Two small speakers are located so that one is 45 cm closer to the listener than the other. What is the lowest possible frequency of sound produced by the speakers for which the interference is destructive at the location of the listener? (Take the speed of sound to be 343 m/s. Assume the speakers are driven by the same oscillator.) a) 256 Hz b) 220 Hz c) 433 Hz d) 381 Hz e) 306 Hz

  • Two sources 51 and 52 that emit sound waves in phase are separated by a distance...

    Two sources 51 and 52 that emit sound waves in phase are separated by a distance d 2.00 m. A detector P can moved along a line that is perpendicular to the line joining the speakers and passes through 51. If the wavelength is 3.00 m, what is the smallest distance between S, and P that will result in destructive interference at P? S1 and 52 are separated by d, POINT P IS LOCATED ON A LINE PERPENDICU;AR TO D,...

  • A pair of speakers separated by distance d = 0.680 m are driven by the same...

    A pair of speakers separated by distance d = 0.680 m are driven by the same oscillator at a frequency of 677 Hz. An observer originally positioned at one of the speakers begins to walk along a line perpendicular to the line joining the 343 m/s.) speakers as in the figure below. (Use v (a) How far must the observer walk before reaching a relative maximum in intensity? 0.142 Xm

  • Two in-phase loudspeakers are 3.00 m apart. They emit sound with a frequency of 490 Hz....

    Two in-phase loudspeakers are 3.00 m apart. They emit sound with a frequency of 490 Hz. A microphone is placed half-way between the speakers and then moved along the line joining the two speakers until the first point of constructive interference is found. At what distance from that midpoint is that first point? The speed of sound in air is 343 m/s. Please work with this example. This question was asked on chegg and was not answered using the numeric...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT