PHYSICS MIDDLE SCHOOL

In a pipe closed at one end and filled with air, a 384-Hz tuning fork resonates when the pipe is 22-cm-long; this tuning forkdoes not resonate for any smaller pipes.
(a) State three other lengths at which this pipe will resonate with the 384-Hz tuning fork. Explain / show your
reasoning​

Answers

Answer 1
Answer:

Answer:

Three other length for which resonance will occur is 66 cm, 110 cm and 154 cm

Explanation:

As we know that the length of the pipe is 22 cm

Now let say it is in 1st harmonic state so we have

(\lambda)/(4) = L

so we have

(\lambda)/(2) = 2L

So we have

L_1 = L + (\lambda)/(2)

L_1 = L + 2L

L_1 = 22 + 2L

For N = 1

L_1 = 66 cm

For N = 2

L_2 = 22 + 88

L_2 = 110 cm

For N = 3

L_3 = 22 + 132

L_3 = 154 cm

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