Question

Two tuning forks have frequencies 380 and 384 hz respectively . when they are sounded together then produce 4 beats after hearing the maximum sound how long will it take to hear the minimum sound

Answer 1

Beat period is given by
T = 1/(f₁ - f₂)

Given, f₁ = 384 Hz and f₂ = 380
So, T = 1/(384 - 380) = 1/4 sec

∵ time period between maximum and minimum sound = beat period/2
= (1/4 sec)/2 = 1/8 sec

Hence, 1/8 sec will take to hear the minimum sound = 1/8 sec

Answer 2

Hello Dear.

Here is the answer ⇒ 

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Given ⇒

Frequency of First Tuning Fork (f₁) = 380 Hz.
Frequency of Second Tuning Fork(f₂)  = 384 Hz.

Using the Formula,

Time Period between the Minimum and maximum Sound = Beat Period/2

For the Beat Period,

 Beat Period = 1/(f₂ - f₁)
                     = 1(384 - 380)
                    = 1/4 seconds.

Thus, Time Period between Maximum and Minimum Sound = (1/4)/2
  ∴ Time Period = 1/4 × 1/2
                         = 1/8 seconds.
                         = 0.125 seconds


∴ The time taken to hear the minimum sound is 0.125 seconds.


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Hope it helps.

Have a Good Day.