In a location where the speed of sound is 337 m/s, a 2000 Hz sound wave impinges

Question

In a location where the speed of sound is 337 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

(a) we have =d*sin maximum => ==v/f=0.1685 m d=0.3 m =>=34.170 (b)if =0.03 m for the same angle d=/sin=0.053 m=5.3 cm (c)=d*sin d=1m =>=5.6*10-7 m frequency f=c/=5.34*1014 Hz=534THz (b)if =0.03 m for the same angle d=/sin=0.053 m=5.3 cm (c)=d*sin d=1m =>=5.6*10-7 m frequency f=c/=5.34*1014 Hz=534THz

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