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Two loudspeakers in a plane, 5.0 m apart, are playing the same frequency. If you stand 12.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 12.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. What is the frequency of the sound? Assume a sound speed of 340 m/s.

Short Answer

Expert verified

The sound emitted by both speakers has the same frequency is170Hz

Step by step solution

01

Description of the frequency of sound

The number of vibrations counted in a second is called frequency. The frequency of sound is 5 cycles per second.

02

Measurement of distance by Pythorogus theroum

The hypotenuse of a triangle can be measured by Pyhogorous theorum where the lengths and breath of a triangle is 12, 5.

122+52=13m

03

Solution of the problems

Difference in path

and the frequency will be

2==2=2.1=2mf=u=3402=170Hz

Hence, the calculated frequency is170Hz

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