Find the frequency & wavelength of a wave whose time period is 0.05 sec & speed is 200 m/s.
Question
Find the frequency & wavelength of a wave whose time period is 0.05 sec & speed is 200 m/s.
Solution
Step 1: Find the Frequency
The frequency of a wave can be calculated using the formula:
Frequency (f) = 1 / Time period (T)
Given that the time period (T) is 0.05 seconds, we can substitute this into the formula:
Frequency (f) = 1 / 0.05 = 20 Hz
So, the frequency of the wave is 20 Hz.
Step 2: Find the Wavelength
The wavelength of a wave can be calculated using the formula:
Wavelength (λ) = Speed (v) / Frequency (f)
Given that the speed (v) is 200 m/s and the frequency (f) we calculated is 20 Hz, we can substitute these into the formula:
Wavelength (λ) = 200 / 20 = 10 m
So, the wavelength of the wave is 10 meters.
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