(B) In the rod clamped at the end,the fundamental mode of vibration corresponds to a quarter wavelength,so $L = \frac{\lambda_r}{4}$,which gives $\lam

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(B) In the rod clamped at the end,the fundamental mode of vibration corresponds to a quarter wavelength,so $L = \frac{\lambda_r}{4}$,which gives $\lambda_r = 4L$. The frequency is $f = \frac{v_r}{\lambda_r} = \frac{v_r}{4L}$.In the air column,the distance between successive nodes (powder heaps) is $\frac{\lambda_a}{2} = 0.6\ m$,so $\lambda_a = 1.2\ m$. The frequency of the air column is $f = \frac{v_a}{\lambda_a} = \frac{330}{1.2} = 275\ Hz$.Since the rod and air column vibrate at the same frequency,we have $\frac{v_r}{4L} = 275$.Substituting $L = 1\ m$,we get $v_r = 275 \times 4 = 1100\ m/s$.

Class 11 Physics Waves and Sound Mix Examples-Waves and Sound

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In the Kundt's tube experiment (shown in fig. $(i)$),the rod is clamped at the center. In the modified experiment (shown in fig. $(ii)$),the rod is clamped at the end. It is known that the speed of sound in air is $330\ m/s$,the powder piles up at successive distances of $0.6\ m$,and the length of the rod used is $1\ m$. Calculate the speed of sound in the rod in $m/s$.

A
$550$
B
$1100$
C
$1200$
D
$600$

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Waves and Sound

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Mix Examples-Waves and Sound

$A$ transverse sinusoidal wave of amplitude $a,$ wavelength $\lambda,$ and frequency $n$ is travelling on a stretched string. The maximum speed of any point on the string is $v/10,$ where $v$ is the speed of propagation of the wave. If $a = 10^{-3} \ m$ and $v = 10 \ m/s,$ then $\lambda$ and $n$ are given by:

MediumIIT 1998

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In Quincke's tube,a detector detects minimum intensity. Now,one of the tubes is displaced by $5 \, cm$. During displacement,the detector detects maximum intensity $10$ times,and finally a minimum intensity (when displacement is complete). The wavelength of sound is .... $cm$.

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An air column in a tube $32 \,cm$ long, closed at one end, is in resonance with a tuning fork. The air column in another tube, open at both ends, of length $66 \,cm$ is in resonance with another tuning fork. When these two tuning forks are sounded together, they produce $8$ beats per second. Then the frequencies of the two tuning forks are (Consider fundamental frequencies only):

DifficultAP EAMCET 2013

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The length,tension,diameter,and density of a wire $B$ are double those of the corresponding quantities for another stretched wire $A$. Then:

Medium

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$Assertion :$ Transverse waves are produced in a very long string fixed at one end. Only a progressive wave is observed near the free end.
$Reason :$ Energy of the reflected wave does not reach the free end.

EasyAIIMS 2013

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In Quincke's tube,a detector detects minimum intensity. Now,one of the tubes is displaced by $5 \, cm$. During displacement,the detector detects maximum intensity $10$ times,and finally a minimum intensity (when displacement is complete). The wavelength of sound is .... $cm$.

The length,tension,diameter,and density of a wire $B$ are double those of the corresponding quantities for another stretched wire $A$. Then:

$Assertion :$ Transverse waves are produced in a very long string fixed at one end. Only a progressive wave is observed near the free end.$Reason :$ Energy of the reflected wave does not reach the free end.

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$Assertion :$ Transverse waves are produced in a very long string fixed at one end. Only a progressive wave is observed near the free end.
$Reason :$ Energy of the reflected wave does not reach the free end.