A) 12
B) 0
C) 1
D) 6
Correct Answer: D
Solution :
Let\[{{\lambda }_{1}}=5.0\,m,\,v=330\,m/s\] and \[{{\lambda }_{2}}=5.5\,m\] The relation between frequency, wavelength and velocity is given by \[v=n\lambda \] \[\Rightarrow \] \[n=\frac{v}{\lambda }\] (i) The frequency corresponding to wavelength \[{{\lambda }_{1}},\] \[{{n}_{1}}=\frac{v}{{{\lambda }_{1}}}=\frac{330}{5.0}=66\,Hz\] The frequency corresponding to wavelength\[{{\lambda }_{2}},\] \[{{n}_{2}}=\frac{v}{{{\lambda }_{2}}}=\frac{330}{5.5}=60\,Hz\] Hence, no. of beats per second \[={{n}_{1}}-{{n}_{2}}=66-60=6\]
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