You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Resonance

A pipe of 30 ...

Question

A pipe of 30 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 1.1 kHz source?
Given speed of sound in air = 330 $m s^{- 1}$ .

Fifth harmonic

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Fourth harmonic

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Third harmonic

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Second harmonic

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D Second harmonic
Given : $ν_{n} = 1.1$ kHz $= 1100$ Hz $v = 330$ $m / s$
Length of pipe $L = 30$ cm $0.3$ m
Frequency of nth harmonic in an open pipe $ν_{n} = \frac{n v}{2 L}$
$∴$ $1100 = \frac{n \times 330}{2 \times 0.3}$ $⟹ n = 2$ i.e. second harmonic

Suggest Corrections

Similar questions

Q. A pipe

17 c m

long is closed at one end. Which harmonic mode of the pipe resonates with

1.5 k H z

?
(Speed of sound in air

= 340 m s^{- 1}

)

Q. A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source ? Will the same source be in resonance with the pipe if both ends are open ? (speed of sound in air is 340 m

s^{- 1}

)

A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (Speed of sound in air is 340 m s^–1).

Q. One meter long (both ends open) organ pipe is kept in a gas that has double the density of air at

STP

. Assuming the speed of sound of air at

STP

300 {ms}^{- 1}

, the frequency difference between the fundamental and second harmonic of the pipe is_____

Hz

Q. A organ pipe open on both ends in the

n^{t h}

harmonic is in resonance with a source of

1000 H z

. The length of pipe is

16.6 c m

and speed of sound in air is

332 m / s e c

. Find the value of

n

Join BYJU'S Learning Program

A pipe of 30 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 1.1 kHz source?Given speed of sound in air = 330 ms−1.

The correct option is D Second harmonicGiven : νn=1.1 kHz =1100 Hz v=330 m/sLength of pipe L=30 cm 0.3 mFrequency of nth harmonic in an open pipe νn=nv2L∴ 1100=n×3302×0.3 ⟹n=2 i.e. second harmonic

A pipe of 30 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 1.1 kHz source?
Given speed of sound in air = 330 $m s^{- 1}$ .

The correct option is D Second harmonic
Given : $ν_{n} = 1.1$ kHz $= 1100$ Hz $v = 330$ $m / s$
Length of pipe $L = 30$ cm $0.3$ m
Frequency of nth harmonic in an open pipe $ν_{n} = \frac{n v}{2 L}$
$∴$ $1100 = \frac{n \times 330}{2 \times 0.3}$ $⟹ n = 2$ i.e. second harmonic