In a location where the speed of sound is 344 m/s, a 2000 Hz sound wave impinges

Question

In a location where the speed of sound is 344 m/s, a 2000 Hz sound wave impinges on two slits 30cm apart. (a) At what angle is the first maximumlocated?
1°

(b) If the sound wave is replaced by 3.00cm microwaves, what slit separation gives the same angle for thefirst maximum?
2 cm

(c) If the slit separation is 1.00 µm, what frequency lightgives the same first maximum angle?
3 THz (a) At what angle is the first maximumlocated?
1°

(b) If the sound wave is replaced by 3.00cm microwaves, what slit separation gives the same angle for thefirst maximum?
2 cm

(c) If the slit separation is 1.00 µm, what frequency lightgives the same first maximum angle?
3 THz

Explanation / Answer

v = 344 m/s, f = 2000 Hz, d = 30 cm = v/f = 0.172 m a) dsin = = sin-1(/d) = 35.0o b) ' = 3.00 cm d' = '/sin = 5.23 cm c) d" = 1.00 m, " = d"sin = 0.574 m f " = v/" = 0.60 THz

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