A sound has 13 crests and 15 troughs in 3 seconds. When the second crest is produced the first is 2cm away from the source? Calculate

        a. The wavelength

        b. The frequency

        c. The wave speed

Respuesta :

Answer:

The wavelength will be 4 cm, frequency will be 4.66 Hz and wave speed is 18.6 cm/sec

Explanation:

Given:

No. of crest = 13

No. of trough = 15

Time = 3 seconds

Hence, 1 crest or 1 trough = [tex]\frac{1}{2}\lambda[/tex]

therefore,

13 C + 15 T = [tex]28(\frac{1}{2}\lambda)[/tex]

=[tex]14\lambda[/tex]

Time given 3 seconds

  = [tex]\frac{3}{14}s[/tex]

[tex]\nu= \frac{14}{3}[/tex]

[tex]\nu= 4.6 Hz \approx 5 Hz[/tex]

2 cm distance is travelled is time period

[tex]\lambda = 4 cm[/tex]

Again wave will travel in 1 T = 4 cm

wave speed v =[tex]\lambda\times\nu[/tex]

= [tex]4\times\frac{14}{3}[/tex]

= 18.6 cm/s

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