in a periodic wave, the distance between second and fifth crests is 15 cm what is the wavelength of the wave?
Answers
Given: In a periodic wave, the distance between second and fifth crests is 15 cm.
To find: Wavelength of the wave
Solution: Let the wavelength of the wave be denoted by l.
The distance between two consecutive crests or troughs is equal to the wavelength of the wave.
Therefore, distance between second and third crest= L
Distance between third and fourth crest= L
Distance between fourth and fifth crest= L
Therefore, distance between second and third crest= L+L+L
= 3L
But, distance is given as 15 cm.
Therefore,
3L= 15
=> L= 15/3
=> L = 5 cm
Therefore, the wavelength of the wave is 5 cm.
the wavelength of the wave is 5 cm if in a periodic wave, the distance between second and fifth crests is 15 cm
Distance between two adjacent trough or crests is known as wavelength
Horizontal Distance between adjacent trough and crest is half of wavelength
Vertical distance between trough and crest is called wave height
Given here the distance between second and fifth crests
Distance between 2nd and 3rd Crest is Equal to wavelength
then Distance between 3rd and 4th Crest is Equal to wavelength
then Distance between 4th and 5th Crest is Equal to wavelength
Total Distance Between second and fifth crests is equal to 3 times the wavelength
3 x wavelength = 15 cm
=> wavelength = 5 cm
the wavelength of the wave is 5 cm if in a periodic wave, the distance between second and fifth crests is 15 cm
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