Two loudspeakers located along the x -axis as shown in Figure P16.61 produce sounds of equal frequency. Speaker 1 is at the origin, while the location of speaker 2 can be varied by a remote control wielded by the listener. He notices maxima in the sound intensity when speaker 2 is located at x = 0.75 m and 1.00 m, but at no points in between. What is the frequency of the sound? Assume the speed of sound is 340 m/s. Figure P16.61
Two loudspeakers located along the x -axis as shown in Figure P16.61 produce sounds of equal frequency. Speaker 1 is at the origin, while the location of speaker 2 can be varied by a remote control wielded by the listener. He notices maxima in the sound intensity when speaker 2 is located at x = 0.75 m and 1.00 m, but at no points in between. What is the frequency of the sound? Assume the speed of sound is 340 m/s. Figure P16.61
Two loudspeakers located along the x-axis as shown in Figure P16.61 produce sounds of equal frequency. Speaker 1 is at the origin, while the location of speaker 2 can be varied by a remote control wielded by the listener. He notices maxima in the sound intensity when speaker 2 is located at x = 0.75 m and 1.00 m, but at no points in between. What is the frequency of the sound? Assume the speed of sound is 340 m/s.
Part A
m
2πkT
) 3/2
Calculate the integral (v) = f vƒ (v)dv. The function f(v) describing the actual distribution of molecular speeds is called the Maxwell-Boltzmann distribution,
=
ƒ(v) = 4π (· v²e-mv²/2kT
. (Hint: Make the change of variable v² =x and use the tabulated integral foxne
integer and a is a positive constant.)
Express your answer in terms of the variables T, m, and appropriate constants.
-ax dx
n!
-
an+1
where n is a positive
(v)
=
ΕΠΙ ΑΣΦ
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