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3 years ago

9

I have a device that can generate sounds with frequencies between 800 Hz and 1600 Hz. I also have an unlabeled tuning fork that

I need to work out the fundamental frequency of. I find that it resonates at 920 Hz and 1380 Hz, but no other frequencies in that range. What's the lowest frequency that it will resonate at?

1 answer:

jek_recluse [69]3 years ago

5 0

Answer:

460 Hz

Explanation:

the given resonating frequency of the device

f₁ = 920 Hz and f₂ = 1380 Hz

fundamental frequency of the device is

f₀ = n₂ - n₁

= 1380 - 920

= 460 Hz

expression of frequency of organic pipe open at both ends

$f_0=n\dfrac{\nu}{2l}$

at n = 1

$f_0=\dfrac{\nu}{2l} = 460 Hz$

the frequency ratios of the closed pipe

$f_0:f_1:f_2: ...... =[1:2:3:.........]f_0$

=[1:2:3:.........]460 Hz

= 460 Hz : 920 Hz : 1380 Hz

so, the lowest frequency for the pipe open at both end is 460 Hz

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