Assuming the time lapse indicated by the double arrow is 2s, what are the values of the wave frequencies f1 and f2 in the figure? (Hint: Use the definition of frequency).

f₁ = 1 Hz

f₂ = 0.75 Hz

Explanation:

The given time lapse between the two frequencies, t = 2 s

The frequency of a wave is the number of complete one cycles of the wave that pass through a given point in a given unit of time

The unit of frequency, 'f', is the Hertz, Hz

Therefore, frequency = Number of cycles/(Time)

The frequency of a wave, f = n/t

Where;

n = The number of completed cycles in a given time

The frequency of the first wave 1, f₁

The number of complete cycles by wave 1 in the 2 seconds, n = 2 cycles

The time, t = 2 seconds

The frequency of wave 1, f₁ = 2 cycles/(2 seconds) = 1 cycle/second = 1 Hz

The frequency of the second wave, wave 2, f₂

The number of complete cycles by wave 2 in the 2 seconds, n = 1 and half cycles = 1.5 cycles

The time, t = 2 seconds

The frequency of wave 2, f₂ = 1.5 cycles/(2 seconds) = 0.75 cycle/second = 0.75 Hz

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