what is the small ripples on water is 0.5s and their wavelength is 10cm,then what is the speed of the waves
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QUESTION:
If the time period of small ripples on water is 0.5s and their wavelength is 10cm,then what is the speed of the waves?
ANSWER:
Given:
Time period = 0.5s
Wavelength = 10cm
To Find:
Speed of waves.
Solution:
⇒ No. of ripples made in 0.5 sec = 1
⇒ No. of ripples made in 1 sec = 1 * 2 = 2
We know that, frequency is the number of occurences per unit time, i.e., per second.
So,
Frequency of ripples = 2 ————(1)
We are given that,
⇒ Wavelength = 10cm = ¹⁰/₁₀₀ m = ¹/₁₀ m = 0.1m————(2)
We know that,
⇒ Speed = Frequency * Wavelength
⇒ Speed = 2 * 0.1
⇒ Speed = 0.2m/sec
Formula Used:
Speed = Frequency * Wavelength
Imp. Definitions:
Frequency = number of occurences per unit time
Wavelength = distance between 2 crests or 2 troughs in a wave.
Speed = distance traveled by a given point on the wave (such as a crest) in a given interval of time
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