The following two lists give the diameters and soundfrequencies for three loudsp

Question

The following two lists give the diameters and soundfrequencies for three loudspeakers. Pair each diameter with afrequency, so that the diffraction angle is the same for each ofthe speakers, and then find the common diffraction angle. Take thespeed of sound to be 343 m/s. DiametersD                                          Frequency,f   .12m                                                         5kHz    .6m                                                         10kHz   .24m                                                          2kHz The following two lists give the diameters and soundfrequencies for three loudspeakers. Pair each diameter with afrequency, so that the diffraction angle is the same for each ofthe speakers, and then find the common diffraction angle. Take thespeed of sound to be 343 m/s. DiametersD                                          Frequency,f   .12m                                                         5kHz    .6m                                                         10kHz   .24m                                                          2kHz

Explanation / Answer

    for the diffraction angle we use     sin = 1.22 ( / D)            = 1.22(v / D f)     we calculate the product (diameter) (frequency)in each case     (0.12 m) (5 x 103 Hz) = 6.0 x102 m / s     (0.60 m) (10 x 103 Hz) = 6.0 x102 m / s     (0.24 m) (2 x 103 Hz) = 4.8 x102 m / s     D f = ......... m / s     take the common value of the above threeproducts then the diffraction angle will be     = sin-1(1.22 (v / D f))        = .........o

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