A) \[277.8\,\,m/s\]
B) \[300\,\,m/s\]
C) \[250\,\,m/s\]
D) \[343.4\,\,m/s\]
Correct Answer: D
Solution :
Given,\[{{I}_{1}}=100\,\,cm=1\,\,m\] \[{{I}_{2}}=101\,\,cm=1.01\,\,m\] Number of beats per second, \[n=17/20\] Let the velocity of sound is \[v\] and \[{{v}_{1}},\,\,{{v}_{2}}\] be the fundamental frequencies of vibrations of two air columns. Then, \[{{v}_{1}}=\frac{v}{4{{l}_{1}}}=\frac{v}{4\times 1}=\frac{v}{4}\] and \[{{v}_{2}}=\frac{v}{4\times 0.1}=\frac{v}{4.04}\] As, \[{{v}_{1}}-{{v}_{2}}=n\] \[\Rightarrow \] \[\frac{v}{4}-\frac{v}{4.04}=\frac{17}{20}\] \[\Rightarrow \] \[v=343.4\,\,m/s\]
You need to login to perform this action.
You will be redirected in
3 sec
