Two identical loudspeakers 2.00 m apart are emitting sound waves into a room where the speed of sound is 340 m/s. Abby is standing 5.50 m in front of one of the speakers perpendicular to the line joining the speakers, and hears a maximum in the intensity of the sound. What is the lowest possible frequency of sound for which this is possible? Express your answer with the appropriate units.

The lowest possible frequency of sound is 971.4 Hz.

Explanation:

Given that,

Distance between  loudspeakers = 2.00 m

Height = 5.50 m

Sound speed = 340 m/s

We need to calculate the distance

Using Pythagorean theorem

We need to calculate the path difference

Using formula of path difference

Put the value into the formula

We need to calculate the lowest possible frequency of sound

Using formula of frequency

Put the value into the formula

Hence, The lowest possible frequency of sound is 971.4 Hz.

0.11 m/s and 0.28 m/s should be correct