Wave Interference

Classical Mechanics Level 1

Two speakers are generating sounds with the same phase, amplitude, and wavelength. The two sound waves can make constructive interference, as above left. Or they can make destructive interference, as above right. If we want to find out the exact position where the two sounds make destructive interference, which of the following do we need to know?

a) the wavelength of the sound waves
b) the distances from the two speakers
c) the speed of sound generated by the two speakers

a) only a) and b) b) and c) c) only

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Lakshan Dumpa by Lakshan Dumpa , 24, India

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9 solutions

Abinesh Mohan
Mar 9, 2014

speed of sound is constant

8 Helpful 1 Interesting 1 Brilliant 1 Confused

I bet to disagree,,, speed of sound changes in different temperature 20 °C (68 °F), the speed of sound is 343 metres per second (1,125 ft/s).

Kayvin Callao - 7 years, 3 months ago

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But since the speakers are in the same place, they are experiencing the same temperature.

Tobiah Rey Gonzalez - 7 years, 3 months ago

if distance is more then frequency is less .so wavelength is more.but speed always constant. so ans. is a and b

lalita verma - 7 years, 3 months ago

the speed of sound depends on the density of the fluid or material

Santiago Pellejero - 7 years, 2 months ago

the exact point i remembered :).

Zāīd Mûghāl - 7 years, 2 months ago
Suhan Roy
Mar 12, 2014

The speed of sound is constant at a particular temperature..so the position where the two sound waves meet or interference will depend on the relative position of the two sources and the wavelength of the two sounds.

4 Helpful 1 Interesting 1 Brilliant 0 Confused
Gerryvee Aseñas
Mar 10, 2014

the sound length and the distance of the sound!

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhijit Bhowmik
Mar 9, 2014

lambda D/(2 d)

2 Helpful 0 Interesting 0 Brilliant 0 Confused

we should know both the distance between the two sources and also the wave length.with relative distance we are able to know up to which point the first wave reaches the common point and with wave length at which point the second wave will join the first wave.so that we can decide whether construction will occur or distruction.

Gayathri Devi Bollam - 7 years, 3 months ago

speed of sount constnt and plz u snd me ans

Sakina Bibi - 7 years, 3 months ago

we know that when phase diff. is 2pi then constructive & when pi then destructive. Now from given pic you can see that the destructive length = one period Now we can calculate the value of D

Abhijit Bhowmik - 7 years, 3 months ago
Eraz Ahmed
Mar 17, 2014

* We know that y=a s i n θ sin\theta and x=a c o s θ cos\theta . Now , for figuring out the fact if they are both in the same phase at that position ,we need to know the angle(phase) of both wave. And for that, we need to figure out the magnitude of the amplitude, a* and the distance x after knowing the follwing information, we just have to put them in equation and thus can obtain our result **

3 Helpful 0 Interesting 0 Brilliant 2 Confused

just speed of sound is constant.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Yogesh Ghadge
Mar 12, 2014

speed of sound is constant.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Manu N H
Jul 16, 2019

The speed of sound will be same as they are in the same environment. So, we only need to know other values.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Prajwal Kavad
Apr 6, 2014

if distance is more then frequency is less .so wavelength is more.but speed always constant. so ans. is a and b

0 Helpful 0 Interesting 0 Brilliant 1 Confused

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