Answer:
f₁ = 1 Hz
f₂ = 0.75 Hz
Step-by-step 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