A student is using a frequency generator set to 440 Hz. Another student has an identical generator playing an unknown frequency. When both sounds are playing, the student hears a 'beat' with a frequency of 2Hz. What would the unknown frequency be

The unknown frequency is either 438 Hz or 442 Hz.

Explanation:

The frequency of a beat heard when two sounds with frequencies f₁ and f₂, are played simultaneously, is simply the difference between two frequencies.

b = |f₁ - f₂|

b = 2 Hz

f₁ = 440 Hz

f₂ = ?

440 - f₂ = 2 or 440 - f₂ = -2

f₂ = 438 Hz or 442 Hz

The unknown frequency is either 438 Hz or 442 Hz.

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