A) \[\frac{2{{u}^{2}}f}{{{v}^{2}}-{{u}^{2}}}\]
B) \[\frac{2{{v}^{2}}f}{{{v}^{2}}-{{u}^{2}}}\]
C) \[\frac{2\,u\,vf}{{{v}^{2}}-{{u}^{2}}}\]
D) \[\frac{2u}{v}f\]
Correct Answer: C
Solution :
[c] Apparent frequency of \[{{S}_{1}}\] and \[{{S}_{2}}\] heard by observer is \[{{f}_{1}}=\frac{v}{v-u}f\] and \[{{f}_{2}}=\frac{v}{v+u}f\] \[\therefore \] Beat \[={{f}_{1}}-{{f}_{2}}=\frac{2uv}{{{v}^{2}}-{{u}^{2}}}f\]
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