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